2.3 graphs of functions
•Download as PPTX, PDF•
0 likes•502 views
The document describes how to evaluate functions from graphs and algebraic expressions. It contains examples of functions f(x), g(t), h(v), k(p), g(r), and z(w) defined on axes or algebraically. The document provides examples of evaluating expressions like f(-2), g(0), h(1) using the different functions defined. It asks the reader to evaluate additional expressions using the given functions.
Report
Share
Report
Share
Recommended
Lesson 1
A function is a set of ordered pairs where each x-value is paired with exactly one y-value. The domain is the set of all possible x-values, and the range is the resulting y-values. The rate of change of a function can be found using the difference quotient or slope formula. A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point. Domain restrictions limit the possible input values of a function. Horizontal and vertical asymptotes provide information about the behavior of a rational function as x approaches positive or negative infinity.
2.6 transformations
- The document discusses function transformations including translations, dilations, rotations, and reflections. It focuses on translations, which shift the graph up/down or left/right, and dilations, which shrink or stretch the graph.
- Examples show how to write functions for translations like k(x)=f(x)+3 which shifts the graph up 3 units, and dilations like h(x)=2f(x) which stretches the graph vertically by a factor of 2.
- Questions provide the definition of a function f(x) and ask the reader to write the tables or sketch the graphs for new functions using transformations of f(x).
Fun37
1) Rational functions are quotients of two polynomial functions. The parent rational function is f(x) = 1/x.
2) Graphs of rational functions can have vertical asymptotes where the function is undefined, horizontal asymptotes as constant lines the function approaches, and sometimes slant asymptotes.
3) Vertical asymptotes occur where the denominator is zero. Horizontal asymptotes occur depending on the relative degrees of the numerator and denominator: if the numerator degree is less than the denominator degree the horizontal asymptote is y=0, if the degrees are equal the horizontal asymptote is the quotient, and if the numerator degree is greater there is no horizontal asymptote.
Ch 7 tutoring notes quadratics
The document discusses transformations of quadratic functions in vertex form f(x) = a(x-h)2 + k. It explains how changing the coefficients a, h, and k affects the graph of the quadratic function. Specifically, it states that changing a widens or narrows the graph, changing h shifts the graph left or right, and changing k shifts the graph up or down. It also provides examples of writing equations for quadratic functions based on given graphs and finding the vertex of a quadratic function in standard form.
Building Functions
This document discusses building new functions from existing functions. It provides examples of replacing f(x) with f(x) + k, kf(x), f(kx), and f(x + k) and examining the effects on the graph. Students are asked to find inverse functions and verify functions are inverses of one another through composition. Examples are provided of evaluating composite functions f(g(x)) from graphs and algebraic expressions by first applying the inner function g(x) and then the outer function f(x).
Applications of stack
Implementation of checking the validity of an arithmetic expression, conversion from infix to postfix form, evaluation of a postfix expression (C code)
Rational function representation
This document discusses rational functions and provides examples of representing rational functions through tables of values, graphs, and equations. It defines a rational function as a function of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomials and q(x) is not the zero function. Examples are given of using rational functions to model speed as a function of time for running a 100-meter dash and calculating winning percentages in a basketball league.
Day 2 examples u2f13
The document discusses how to graph the square root of a function f(x). It explains that the square root of f(x) is below the graph of f(x), except at invariant points where f(x) equals 0 or 1. It provides examples of graphing the square root of functions like f(x), g(x), h(x), and p(x) by locating invariant points, drawing the graph above f(x) between those points, and sketching a smooth curve below f(x) between key points at perfect squares.
Recommended
Lesson 1
A function is a set of ordered pairs where each x-value is paired with exactly one y-value. The domain is the set of all possible x-values, and the range is the resulting y-values. The rate of change of a function can be found using the difference quotient or slope formula. A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point. Domain restrictions limit the possible input values of a function. Horizontal and vertical asymptotes provide information about the behavior of a rational function as x approaches positive or negative infinity.
2.6 transformations
- The document discusses function transformations including translations, dilations, rotations, and reflections. It focuses on translations, which shift the graph up/down or left/right, and dilations, which shrink or stretch the graph.
- Examples show how to write functions for translations like k(x)=f(x)+3 which shifts the graph up 3 units, and dilations like h(x)=2f(x) which stretches the graph vertically by a factor of 2.
- Questions provide the definition of a function f(x) and ask the reader to write the tables or sketch the graphs for new functions using transformations of f(x).
Fun37
1) Rational functions are quotients of two polynomial functions. The parent rational function is f(x) = 1/x.
2) Graphs of rational functions can have vertical asymptotes where the function is undefined, horizontal asymptotes as constant lines the function approaches, and sometimes slant asymptotes.
3) Vertical asymptotes occur where the denominator is zero. Horizontal asymptotes occur depending on the relative degrees of the numerator and denominator: if the numerator degree is less than the denominator degree the horizontal asymptote is y=0, if the degrees are equal the horizontal asymptote is the quotient, and if the numerator degree is greater there is no horizontal asymptote.
Ch 7 tutoring notes quadratics
The document discusses transformations of quadratic functions in vertex form f(x) = a(x-h)2 + k. It explains how changing the coefficients a, h, and k affects the graph of the quadratic function. Specifically, it states that changing a widens or narrows the graph, changing h shifts the graph left or right, and changing k shifts the graph up or down. It also provides examples of writing equations for quadratic functions based on given graphs and finding the vertex of a quadratic function in standard form.
Building Functions
This document discusses building new functions from existing functions. It provides examples of replacing f(x) with f(x) + k, kf(x), f(kx), and f(x + k) and examining the effects on the graph. Students are asked to find inverse functions and verify functions are inverses of one another through composition. Examples are provided of evaluating composite functions f(g(x)) from graphs and algebraic expressions by first applying the inner function g(x) and then the outer function f(x).
Applications of stack
Implementation of checking the validity of an arithmetic expression, conversion from infix to postfix form, evaluation of a postfix expression (C code)
Rational function representation
This document discusses rational functions and provides examples of representing rational functions through tables of values, graphs, and equations. It defines a rational function as a function of the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomials and q(x) is not the zero function. Examples are given of using rational functions to model speed as a function of time for running a 100-meter dash and calculating winning percentages in a basketball league.
Day 2 examples u2f13
The document discusses how to graph the square root of a function f(x). It explains that the square root of f(x) is below the graph of f(x), except at invariant points where f(x) equals 0 or 1. It provides examples of graphing the square root of functions like f(x), g(x), h(x), and p(x) by locating invariant points, drawing the graph above f(x) between those points, and sketching a smooth curve below f(x) between key points at perfect squares.
Day 9 examples u1w14
The document discusses how to graph the square root of a function f(x). It notes that invariant points where the graph of √f(x) overlaps with f(x) occur when f(x) equals 0 or 1. To graph √f(x), one locates any invariant points, draws the graph above f(x) between those points, and adds any other points for perfect squares, connecting them with a smooth curve below the graph of f(x).
Spiral array
This program prints the numbers in a given 2D array (matrix) in spiral order. It takes the order of the matrix as input, stores the numbers in the matrix by scanning row-wise, and then prints the numbers by traversing the matrix in a spiral pattern starting from the top left corner, moving right, then down, left, and up. It uses a while loop to iterate through all elements of the matrix until all numbers are printed.
Derivative3
The document discusses how the derivative of a function can fail to exist at a point x=a. Specifically, it examines two cases: 1) where a function is defined differently on either side of a point and 2) where a function is not continuous at a point. The document aims to explain failure of existence of the derivative through examples of graphing functions with these properties.
AP Calculus January 12, 2009
The document discusses accumulation functions and the definite integral. It provides examples of calculating the total change over an interval using the rate function and the Fundamental Theorem of Calculus. Tables are included showing the relationship between the rate function and the accumulation function.
3) quadratic vertex form
The document discusses quadratic functions and their graphs. It aims to explore the properties of quadratic functions and express them in different forms, including vertex form. It provides examples of writing quadratic functions in vertex form given the vertex, as well as writing the function in general form given its vertex. The key points are that the vertex form of a quadratic function y = a(x - h)2 + k shows the vertex is (h, k) and the line of symmetry is x = h. Converting between the vertex and general forms allows finding the maximum point of a quadratic function.
3.2 exponential function tables
The document discusses exponential functions and how to work with tables of exponential functions. It explains that an exponential function has the general form f(x) = a*b^x or f(x) = a*b^-x, where a is the starting value and b is the growth or decay factor. It provides instructions for making a table of values for an exponential function by inputting integer x-values and outputting the corresponding y-values found by multiplying the previous term by b. Examples are given of completing tables and writing the exponential function given a table of x and y-values.
Stack Data Structure V1.0
The document discusses stacks, which are linear data structures that follow the LIFO (last-in, first-out) principle. Stacks allow elements to be inserted and removed from one end through push and pop operations. Common stack operations are described like push, pop, isEmpty and their functions. Examples of stack operations and conversions between infix, prefix and postfix notations are provided.
Modeling with Quadratics
- The document discusses quadratic functions and their graphs. It explains that the graph of a quadratic function is a parabola, which is a U-shaped curve.
- It describes how to write quadratic functions in standard form and use that form to sketch the graph and find features like the vertex and axis of symmetry.
- Examples are provided to demonstrate how to graph quadratic functions in standard form and how to find the minimum or maximum value of a quadratic function by setting its derivative equal to zero.
H Alg2 091409
The document discusses functions and function notation. It begins by reviewing the slope-intercept form of a linear equation. It then defines different types of functions including polynomial, exponential, logarithmic, and trigonometric functions. It explains that a function relates an input to a unique output and can be represented by f(x) = mx + b or other notations like g(x) or h(x). The document demonstrates how to evaluate functions by plugging in values for x and concludes by assigning homework problems on functions.
4) quadratic functions factorised form
This document discusses quadratic functions and their properties. It explains how to express quadratics in different forms like factored, general, and vertex form. It provides examples of finding the zeros, line of symmetry, and vertex of various quadratic functions. Students are asked to work through examples of sketching graphs, factorizing expressions, solving equations, and rewriting functions in different forms to investigate the properties of quadratic functions and their relationships between algebraic and graphical representations.
Products And Quotients
This document discusses products and quotients of functions. It defines products as multiplication and quotients as division. The formulas for determining the product and quotient of functions are presented. Several investigations are described that involve sketching graphs of power functions, proving algebraic identities involving products of functions, examining the symmetry of products, and testing conjectures about the symmetry of products and quotients. The purpose of understanding products and quotients is explained as helping to determine revenue, economic statistics, and predict probabilities.
Alg II Unit 4-1 Quadratic Functions and Transformations
The document provides an overview of quadratic functions and their transformations. It defines key concepts like parabolas, quadratic functions, vertex form, and the parent function. It explains how to graph quadratic functions and how their graphs are transformed through reflection, stretching, compression, and translation based on changes to the coefficients in the function. Examples are provided to demonstrate finding features of quadratic functions like the vertex, axis of symmetry, minimum/maximum values, and describing the transformations.
2.9 graphs of factorable rational functions t
The document discusses graphs of rational functions. It provides examples of graphs along vertical and horizontal asymptotes, as well as graphs around roots. The document also contains exercises asking the reader to identify roots, poles, and orders from sign charts and sketch graphs of various rational functions.
Functions for Grade 10
This document discusses functions and their properties. It defines a function as a special relation where each first element is paired with exactly one second element. Functions are represented as sets of ordered pairs. The domain of a function is the set of all possible x-values, while the range is the set of all possible y-values. Functions can be represented graphically and through equations, and can be transformed through shifts, reflections, and stretching/shrinking. Common function families include linear, quadratic, exponential, and trigonometric functions.
Yocco41
(1) The document discusses cubic and quartic polynomial functions. Cubic polynomials are of degree 3, while quartic polynomials are of degree 4.
(2) The graph of a cubic function is a continuous smooth curve that can have up to two turning points, where the curve changes from increasing to decreasing. These turning points can be local maxima or minima.
(3) An example cubic function is graphed and its local minimum and maximum are calculated using a graphing calculator. Quartic functions are similarly discussed and an example graph is shown.
2) quadratics gral form
This document discusses properties of quadratic functions and their graphs. It explores expressing quadratic functions in different forms, sketching graphs of basic quadratic functions, and investigating the effects of changing coefficients on the graph. The key aspects covered are the relationship between the coefficients and the graph properties like the vertex, line of symmetry, and y-intercept. Examples of matching functions to graphs and writing functions in standard form are provided.
Linear functions
The document discusses different forms and methods for graphing linear functions, including:
1) The standard, point-slope, and slope-intercept forms of linear equations.
2) Converting between these forms by solving for slope and y-intercept.
3) Graphing linear functions by finding the slope from two points using the point-slope form, making a table of x-y values, or finding the x- and y-intercepts.
4) Determining if two functions are parallel or perpendicular based on having equal or reciprocal slopes.
Alg II Unit 4-2 Standard Form of a Quadratic Function
This document discusses the standard form of a quadratic function y = ax^2 + bx + c and provides examples of:
- Converting quadratic equations between standard and vertex form
- Using the properties of quadratic functions to find the vertex, axis of symmetry, minimum/maximum values, y-intercept
- Graphing quadratic functions by hand and with a calculator to identify key features
It also provides examples of interpreting real world applications that can be modeled with quadratic functions.
3.4 Polynomial Functions and Their Graphs
Identify and interpret horizontal and vertical translations
Identify the end behavior of a function
Locate and/or approximate zeros of a function
First Partial Review
Esta es una presentación con el repaso del primer parcial de Cálculo diferencial en el pizarrón electrónico Promethean.
Swa matrix scenarios
This document outlines three ways that a matrix marketing program can be filled through a combination of "upline spillover" and personal effort: 1) Through referrals from an upline and a participant's own referrals filling the matrix. 2) By having referrals from an upline and a participant's referrals fill new matrices. 3) By having a single active referral fill all slots in a matrix. It also explains that a participant's direct referrals will fill the next available vacant slots in their current matrix.
How to access your personal website
This document provides instructions for accessing a personal website, including checking email for a website link, logging in to view features like a dashboard, matrix, e-wallet, and profile editing, and entering payout details. The website provides tools for managing an online business and payments.
More Related Content
What's hot
Day 9 examples u1w14
The document discusses how to graph the square root of a function f(x). It notes that invariant points where the graph of √f(x) overlaps with f(x) occur when f(x) equals 0 or 1. To graph √f(x), one locates any invariant points, draws the graph above f(x) between those points, and adds any other points for perfect squares, connecting them with a smooth curve below the graph of f(x).
Spiral array
This program prints the numbers in a given 2D array (matrix) in spiral order. It takes the order of the matrix as input, stores the numbers in the matrix by scanning row-wise, and then prints the numbers by traversing the matrix in a spiral pattern starting from the top left corner, moving right, then down, left, and up. It uses a while loop to iterate through all elements of the matrix until all numbers are printed.
Derivative3
The document discusses how the derivative of a function can fail to exist at a point x=a. Specifically, it examines two cases: 1) where a function is defined differently on either side of a point and 2) where a function is not continuous at a point. The document aims to explain failure of existence of the derivative through examples of graphing functions with these properties.
AP Calculus January 12, 2009
The document discusses accumulation functions and the definite integral. It provides examples of calculating the total change over an interval using the rate function and the Fundamental Theorem of Calculus. Tables are included showing the relationship between the rate function and the accumulation function.
3) quadratic vertex form
The document discusses quadratic functions and their graphs. It aims to explore the properties of quadratic functions and express them in different forms, including vertex form. It provides examples of writing quadratic functions in vertex form given the vertex, as well as writing the function in general form given its vertex. The key points are that the vertex form of a quadratic function y = a(x - h)2 + k shows the vertex is (h, k) and the line of symmetry is x = h. Converting between the vertex and general forms allows finding the maximum point of a quadratic function.
3.2 exponential function tables
The document discusses exponential functions and how to work with tables of exponential functions. It explains that an exponential function has the general form f(x) = a*b^x or f(x) = a*b^-x, where a is the starting value and b is the growth or decay factor. It provides instructions for making a table of values for an exponential function by inputting integer x-values and outputting the corresponding y-values found by multiplying the previous term by b. Examples are given of completing tables and writing the exponential function given a table of x and y-values.
Stack Data Structure V1.0
The document discusses stacks, which are linear data structures that follow the LIFO (last-in, first-out) principle. Stacks allow elements to be inserted and removed from one end through push and pop operations. Common stack operations are described like push, pop, isEmpty and their functions. Examples of stack operations and conversions between infix, prefix and postfix notations are provided.
Modeling with Quadratics
- The document discusses quadratic functions and their graphs. It explains that the graph of a quadratic function is a parabola, which is a U-shaped curve.
- It describes how to write quadratic functions in standard form and use that form to sketch the graph and find features like the vertex and axis of symmetry.
- Examples are provided to demonstrate how to graph quadratic functions in standard form and how to find the minimum or maximum value of a quadratic function by setting its derivative equal to zero.
H Alg2 091409
The document discusses functions and function notation. It begins by reviewing the slope-intercept form of a linear equation. It then defines different types of functions including polynomial, exponential, logarithmic, and trigonometric functions. It explains that a function relates an input to a unique output and can be represented by f(x) = mx + b or other notations like g(x) or h(x). The document demonstrates how to evaluate functions by plugging in values for x and concludes by assigning homework problems on functions.
4) quadratic functions factorised form
This document discusses quadratic functions and their properties. It explains how to express quadratics in different forms like factored, general, and vertex form. It provides examples of finding the zeros, line of symmetry, and vertex of various quadratic functions. Students are asked to work through examples of sketching graphs, factorizing expressions, solving equations, and rewriting functions in different forms to investigate the properties of quadratic functions and their relationships between algebraic and graphical representations.
Products And Quotients
This document discusses products and quotients of functions. It defines products as multiplication and quotients as division. The formulas for determining the product and quotient of functions are presented. Several investigations are described that involve sketching graphs of power functions, proving algebraic identities involving products of functions, examining the symmetry of products, and testing conjectures about the symmetry of products and quotients. The purpose of understanding products and quotients is explained as helping to determine revenue, economic statistics, and predict probabilities.
Alg II Unit 4-1 Quadratic Functions and Transformations
The document provides an overview of quadratic functions and their transformations. It defines key concepts like parabolas, quadratic functions, vertex form, and the parent function. It explains how to graph quadratic functions and how their graphs are transformed through reflection, stretching, compression, and translation based on changes to the coefficients in the function. Examples are provided to demonstrate finding features of quadratic functions like the vertex, axis of symmetry, minimum/maximum values, and describing the transformations.
2.9 graphs of factorable rational functions t
The document discusses graphs of rational functions. It provides examples of graphs along vertical and horizontal asymptotes, as well as graphs around roots. The document also contains exercises asking the reader to identify roots, poles, and orders from sign charts and sketch graphs of various rational functions.
Functions for Grade 10
This document discusses functions and their properties. It defines a function as a special relation where each first element is paired with exactly one second element. Functions are represented as sets of ordered pairs. The domain of a function is the set of all possible x-values, while the range is the set of all possible y-values. Functions can be represented graphically and through equations, and can be transformed through shifts, reflections, and stretching/shrinking. Common function families include linear, quadratic, exponential, and trigonometric functions.
Yocco41
(1) The document discusses cubic and quartic polynomial functions. Cubic polynomials are of degree 3, while quartic polynomials are of degree 4.
(2) The graph of a cubic function is a continuous smooth curve that can have up to two turning points, where the curve changes from increasing to decreasing. These turning points can be local maxima or minima.
(3) An example cubic function is graphed and its local minimum and maximum are calculated using a graphing calculator. Quartic functions are similarly discussed and an example graph is shown.
2) quadratics gral form
This document discusses properties of quadratic functions and their graphs. It explores expressing quadratic functions in different forms, sketching graphs of basic quadratic functions, and investigating the effects of changing coefficients on the graph. The key aspects covered are the relationship between the coefficients and the graph properties like the vertex, line of symmetry, and y-intercept. Examples of matching functions to graphs and writing functions in standard form are provided.
Linear functions
The document discusses different forms and methods for graphing linear functions, including:
1) The standard, point-slope, and slope-intercept forms of linear equations.
2) Converting between these forms by solving for slope and y-intercept.
3) Graphing linear functions by finding the slope from two points using the point-slope form, making a table of x-y values, or finding the x- and y-intercepts.
4) Determining if two functions are parallel or perpendicular based on having equal or reciprocal slopes.
Alg II Unit 4-2 Standard Form of a Quadratic Function
This document discusses the standard form of a quadratic function y = ax^2 + bx + c and provides examples of:
- Converting quadratic equations between standard and vertex form
- Using the properties of quadratic functions to find the vertex, axis of symmetry, minimum/maximum values, y-intercept
- Graphing quadratic functions by hand and with a calculator to identify key features
It also provides examples of interpreting real world applications that can be modeled with quadratic functions.
3.4 Polynomial Functions and Their Graphs
Identify and interpret horizontal and vertical translations
Identify the end behavior of a function
Locate and/or approximate zeros of a function
First Partial Review
Esta es una presentación con el repaso del primer parcial de Cálculo diferencial en el pizarrón electrónico Promethean.
What's hot (20)
Alg II Unit 4-1 Quadratic Functions and Transformations
Alg II Unit 4-1 Quadratic Functions and Transformations
Alg II Unit 4-2 Standard Form of a Quadratic Function
Alg II Unit 4-2 Standard Form of a Quadratic Function
Viewers also liked
Swa matrix scenarios
This document outlines three ways that a matrix marketing program can be filled through a combination of "upline spillover" and personal effort: 1) Through referrals from an upline and a participant's own referrals filling the matrix. 2) By having referrals from an upline and a participant's referrals fill new matrices. 3) By having a single active referral fill all slots in a matrix. It also explains that a participant's direct referrals will fill the next available vacant slots in their current matrix.
How to access your personal website
This document provides instructions for accessing a personal website, including checking email for a website link, logging in to view features like a dashboard, matrix, e-wallet, and profile editing, and entering payout details. The website provides tools for managing an online business and payments.
12.2 combinations
The document defines combinations and the notation used to represent them. It provides examples of calculating combinations using this notation for different values of n and r. It then applies combinations to problems involving counting possible hands of cards, omelet ingredients, city/attraction visits, volunteer groups, play selections, salad toppings, and senior committee assignments.
1 4 rewriting equations
This document discusses literal equations, which are equations with two or more variables. It provides examples of solving literal equations for a specified variable by treating other variables as numbers. Readers are prompted to solve sample literal equations for different variables, such as solving an equation for y, or solving for the height (h) of a triangle given its area and base length.
6 3 ellipses
This document discusses ellipses, including how to graph them, find their equations, and locate their foci. An ellipse is defined as the set of all points where the sum of the distances to two foci is constant. Ellipses can be graphed by first writing their standard form and then using the major and minor axes to plot vertices and co-vertices. The document provides examples of how to sketch ellipses and write their equations given certain characteristics like vertex locations, axis lengths, and focal coordinates.
KALIBRASI DAN PENGGUNAAN ALAT UKUR Oleh Ir. Najamudin, MT Dosen Universitas B...
Dokumen tersebut membahas tentang kalibrasi dan penggunaan alat ukur. Kalibrasi dilakukan untuk mengetahui keakuratan alat ukur dengan membandingkannya terhadap standar ukur yang lebih akurat. Ada tiga alasan penting melakukan kalibrasi yaitu untuk memastikan keakuratan, menentukan deviasi, dan mengetahui keandalan alat ukur. Penggunaan alat ukur dikelompokkan menjadi tiga y
Social Diagnosis Updated
Southern Illinois University Edwardsville has a growing student population of over 14,000 students, with over 2,000 freshmen enrolled in 2014. The university conducted a survey of 75 current freshmen and found that over 40% check social media 10 or more times per day, with Twitter being the most preferred platform. The survey revealed that freshmen experience stress related to time management, sleep, finances, and nutrition.
Responsibility paper
Rachel Hadjan and her colleagues created a program called #StressmenProbs: Assessing Mental Health through Social Media to identify factors influencing mental health behaviors among students at Southern Illinois University Edwardsville (SIUE). They gathered secondary data from the SIUE freshmen Facebook page and conducted a needs assessment. For responsibility 2, they worked with SIUE health counselors who guided the project. They created goals and objectives to improve awareness and strategies for combating mental stressors among freshmen. For responsibility 3, they used the PRECEDE-PROCEED model to plan how the program would be implemented, including a social media campaign providing mental health information, challenges, and support. For responsibility 4, they conducted a
2013 - 2014 EMT Catalog Student Version Revised Hernando Community College & ...
This document describes an Emergency Medical Technician training program offered by AEMSTEC CONSULTANT & TECHNICAL SERVICES INC. in Saint Lucia. The program is accredited by the American Safety & Health Institute and authorized by the Ministry of Health and Ministry of Education. The 460-hour program teaches students hands-on emergency medical skills based on the U.S. DOT National EMS Education Standards. Students must pass written and practical exams to receive EMT certification, allowing them to work in pre-hospital emergency medical settings. The program aims to develop professionalism in EMTs and provide them knowledge and skills to assess and treat patients in medical emergencies.
powerpoint
Microsoft PowerPoint es un programa de presentaciones desarrollado por Microsoft que se usa ampliamente en la enseñanza, los negocios y otros campos. PowerPoint permite crear presentaciones con texto, diapositivas, animaciones e imágenes. Forma parte de Microsoft Office y es uno de los programas de presentación más populares. PowerPoint puede integrarse con otros componentes de Office y se puede usar para imprimir transparencias, documentos, notas y diapositivas estándar.
Que es un exabyte
Un Exabyte es una gran unidad de medida para el almacenamiento de información que equivale a miles de millones de gigabytes. Específicamente, un Exabyte es 2 a la potencia 60 o 1 con 18 ceros gigabytes, lo que lo convierte en una medida comúnmente utilizada para grandes cantidades de datos almacenados.
029_UC_EXPO_Arkadin_PowerPoint_Presentation_FinalApprovedpptx_2
This document discusses unified communications and collaboration solutions in the cloud. It begins by introducing Arkadin, a global ICT provider and subsidiary of NTT Communications. The document then discusses trends in businesses towards flexible working, mobility, and cloud services. It outlines how businesses are increasingly adopting unified communications approaches. The rest of the document discusses barriers to UC adoption, deployment options for UCaaS, and Arkadin's value proposition in helping businesses with their UC journey.
Digitalización
El documento explica los conceptos básicos de la digitalización de información. Define la digitalización como la conversión de información analógica a formato digital para su procesamiento en una computadora. Detalla que se pueden digitalizar imágenes a través de un escáner, sonido con un micrófono y texto mediante el reconocimiento óptico de caracteres. También explica que un pixel es el punto más pequeño de una imagen digital y que los sistemas RGB y CMYK son usados para representar colores en dispositivos digitales e impresión, respectivamente.
Takhrij hadis
Pada awalnya ilmu takhrij hadis tidak diperlukan oleh ulama namun seiring berjalannya waktu dan kebutuhan terhadap penunjukan hadis terhadab sumber aslinya maka memunculkan berbagai kitab-kitab takhrij, menjelaskan metodenya, dan menentukan kualitas hadis sesuai kedudukanya.
Takhrij adalah menunjukkan hadits pada rujukan pokok ( asli ) yang sudah dikeluarkan lalu disebutkan pula kedudukan hadits tersebut pada saat yang diperlukan. Ilmu takhrij merupakan bagian dari ilmu agama yang harus mendapat perhatian serius karena di dalamnya dibicarakan berbagai kaidah untuk mengetahui sumber hadis itu berasal. Disamping itu, didalamnya ditemukan banyak kegunaan dan hasil yang diperoleh, khususnya dalam menentukan kualitas sanad hadis. suatu hadis merupakan hal yang mutlak diperlukan.
Dalam makalah takhrij hadis kali ini akan dibahas mengenai: Pengertian takhrij hadis, tujuan dan manfa‟at takhrij hadis, kitab-kitab yang diperlukan dalam mentakhrij, cara pelaksanaan dan metode takhrij
A2 media evaluation
1) The document discusses how the author created synergy between their main music video product and ancillary promotional products like a poster and digi-pack.
2) The author researched conventions of the singer-songwriter genre, looking at artists like Ed Sheeran, Ben Howard and Sam Smith. They incorporated conventions like natural lighting, casual clothing and melancholy themes into their own video and products.
3) Elements like fonts, logos, colors and motifs were carried over between the products to create familiarity and link them together as one promotional campaign. Researching what audiences respond to was important for achieving success.
Perros muy grandes
La raza de perro más grande del mundo es el Dogo alemán que puede alcanzar los 90 cm de altura, seguido por el San Bernardo a 86 cm y el Fila brasilero a 75 cm, siendo estas las tres razas caninas que alcanzan mayores alturas.
DT of the 4th Quarter 2014 and Trainer of the Year 2014
Christine Clifford from Waterfront is being celebrated as the Department Trainer of the 4th Quarter with a record breaking total of 215 points. To celebrate her achievement, she has been invited to a reception the next day. The rest of the Waterfront management team is thanked for encouraging and supporting Christine in her efforts. Jamilah Bruce-Edwards is also commended for scoring a total of 145 points, while Joyetta Williams and Chariste Joseph from IRD finished with 140 and 130 points respectively.
Realidad dominicana actual (UNIBE, Andres Cueli)
El documento describe algunas cosas positivas y negativas del Metro de Santo Domingo. Entre las cosas positivas se encuentra la disciplina y organización dentro de las instalaciones del metro, la calma con que las personas esperan los trenes, y las claras señalizaciones. Sin embargo, las afueras del metro se complican debido a los pequeños negocios en las aceras, y aunque el metro es una buena opción para el transporte masivo, el problema del tráfico no se ha resuelto completamente debido a la gran cantidad de vehículos.
Viewers also liked (20)
KALIBRASI DAN PENGGUNAAN ALAT UKUR Oleh Ir. Najamudin, MT Dosen Universitas B...
KALIBRASI DAN PENGGUNAAN ALAT UKUR Oleh Ir. Najamudin, MT Dosen Universitas B...
2013 - 2014 EMT Catalog Student Version Revised Hernando Community College & ...
2013 - 2014 EMT Catalog Student Version Revised Hernando Community College & ...
029_UC_EXPO_Arkadin_PowerPoint_Presentation_FinalApprovedpptx_2
029_UC_EXPO_Arkadin_PowerPoint_Presentation_FinalApprovedpptx_2
DT of the 4th Quarter 2014 and Trainer of the Year 2014
DT of the 4th Quarter 2014 and Trainer of the Year 2014
Similar to 2.3 graphs of functions
Algebra 2. 9.15. Intro to quadratics
The document provides information about graphing and transforming quadratic functions:
- It discusses graphing quadratic functions by making tables of x- and y-values and plotting points. Examples show graphing f(x) = x^2 - 4x + 3 and g(x) = -x^2 + 6x - 8.
- Transformations of quadratic functions are described as translating the graph left/right or up/down, reflecting across an axis, or stretching/compressing vertically or horizontally. Examples demonstrate translating, reflecting, and compressing the graph of f(x) = x^2.
- The vertex form of a quadratic function f(x) = a(x-h)^2 +
Module 2 quadratic functions
1. This module covers quadratic functions and how to graph them. Students will learn to identify the vertex, axis of symmetry, and direction of opening of quadratic graphs.
2. Key aspects covered include how changing coefficients a, h, and k affect the width, translation, and vertical shift of the graph. When a increases, the graph narrows; changing h translates the graph left or right; and changing k shifts the graph up or down.
3. The steps for graphing a quadratic function are finding the vertex, axis of symmetry, direction of opening, and making a table of values to plot points.
Inverse Functions
The document discusses derivatives of functions and inverse functions. It defines a function and inverse function, and explains that a function must be one-to-one to have an inverse. It also states that the slope of the tangent line to the inverse function at a point (a,b) is the inverse of the slope of the tangent line to the original function at the same point (b,a).
Mathematics 9 Quadratic Functions (Module 2)
This learner's module will discuss or talk about the Graph of Quadratic Functions. It will also discuss on how to draw the Graph of Quadratic Functions using the vertex, axis of symmetry, etc.
Ch 3 lessons
This document summarizes key concepts about transformations and graphs in statistics:
1) Transformations like translations, scale changes, and symmetries can be used to adjust graphs into more useful forms for analysis. Translations move a graph along the x- or y-axis, while scale changes dilate a graph vertically or horizontally.
2) Symmetries include reflections like lines of symmetry and rotational symmetry about the origin. Even functions are symmetrical about the y-axis, while odd functions are symmetrical about the origin.
3) Inverse functions can be found by reflecting a function across the line y=x. The inverse of a function is a function itself if no horizontal line intersects the original function in more than
6.6 analyzing graphs of quadratic functions
This document discusses analyzing and graphing quadratic functions. It defines key terms like vertex, axis of symmetry, and vertex form. It explains that the graph of y=ax^2 is a parabola, and how the value of a affects whether the parabola opens up or down. It also describes how to graph quadratic functions in vertex form by plotting the vertex and axis of symmetry, and using symmetry.
Functions
The document discusses functions and evaluating functions. It provides examples of determining if a given equation is a function using the vertical line test and evaluating functions by substituting values into the function equation. It also includes examples of evaluating composite functions using flow diagrams to illustrate the steps of evaluating each individual function.
Parent function and Transformation.ppt
This document discusses parent functions and transformations of functions. It defines parent functions as the simplest functions that satisfy a function definition, such as y=x for linear functions. It then explains various parent functions including quadratic, square root, absolute value, and cubic functions. The document also covers transformations including vertical and horizontal shifting, stretching and compressing, and reflection. It provides examples of writing equations for transformed graphs and combining transformations.
Transformations
The document discusses how to graph functions by applying transformations to basic graphs. These transformations include vertical and horizontal shifts which move the graph up/down or left/right, reflections which flip the graph across an axis, and stretching or shrinking which make the graph taller or narrower. By identifying the transformations in an equation, one can graph it by applying the corresponding operations to the original function graph.
2 5 2-6 absolute value graphs and translations
The document discusses absolute value functions and graphs, including:
1) Graphing the functions f(x) = |x| and f(x) = -|x + 3| using tables of values from -3 to 3.
2) Translating the graph of f(x) = |x| by adding 2, multiplying by -1, and shifting the argument by 2.
3) Graphing the functions f(x) = -|x| + 3, f(x) = -|x - 2|, f(x) = |x - 1| - 2, and f(x) = |x + 3| + 1.
4) Lists homework problems from
Day 5 examples u6w14
1. The document discusses composite functions, which involve combining two functions f(x) and g(x) where the output of one is used as the input of the other. It provides examples of evaluating composite functions using tables and graphs.
2. Key steps for evaluating composite functions are: 1) Substitute the inner function into the outer function and 2) Simplify the expression. Order matters as f(g(x)) and g(f(x)) may have different values.
3. Examples are worked through to find composite functions given basic functions like f(x) = x + 1 and g(x) = 2x as well as more complex rational functions.
Transformationss
The document discusses solving homework problems involving graph transformations. It explains how to graph the absolute value of a function f(x) shifted down by 2 units. It then asks the reader to sketch the function y = -2f(1/2x – 2) + 3, identifying that the transformations occur in this order: 1) vertical stretch by a factor of -2, 2) horizontal compression by a factor of 1/2, 3) horizontal shift of -4 units, and 4) vertical shift of +3 units. The resulting graph is shown with the transformed coordinates.
Transformationss
The document discusses solving homework problems involving graph transformations. It explains how to graph the absolute value of a function f(x) shifted down by 2 units. It then asks to sketch the function y = -2f(1/2x – 2) + 3, identifying that the transformations occur in this order: 1) vertical stretch by factor of -2, 2) horizontal compression by factor of 1/2, 3) horizontal shift of -4, and 4) vertical shift of +3. The steps to solve these graph transformation problems are demonstrated.
5 1 quadratic transformations
The document discusses transformations of quadratic functions, including horizontal and vertical translations, reflections, and stretches or compressions. Horizontal translations move the graph right or left, depending on the value of h in the function f(x) = (x - h)2. Vertical translations move the graph up or down depending on the value of k. The vertex of the parabola after any transformation is located at the point (h, k). Reflections occur when the value of a in the function f(x) = a(x)2 is negative, causing the graph to reflect over the x-axis. Stretches and compressions occur when the absolute value of a is greater or less than 1, respectively.
1. Graph the exponential function by hand. Identify any asymptotes.docx
1. Graph the exponential function by hand. Identify any asymptotes and intercepts and determine whether the graph of the function is increasing or decreasing. (Enter NONE in any unused answer blanks.)
Equation of horizontal asymptote:
Equation of vertical asymptote:
Value of y-intercept
Value of x-intercept
The function is
2. Use the graph of y = 2x to match the function with its graph.
A
B
C
D
y = 2x – 4
y = 2x – 5
y = 2x + 4
y = 2–x
3. Use the graph of f to describe the transformation that yields the graph of g. Then sketch the graphs of f and g by hand.
f(x) = −2x, g(x) = 5 − 2x
The graph of g(x) = 5 − 2x is a vertical shift five units downward of f(x) = −2x.
The graph of g(x) = 5 − 2x is a horizontal shift five units to the left of f(x) = −2x.
The graph of g(x) = 5 − 2x is a vertical shift five units upward of f(x) = −2x.
The graph of g(x) = 5 − 2x is a horizontal shift five units to the right of f(x) = −2x.
Sketch the graphs of f and g.
4. Use a graphing utility to construct a table of values for the function. (Round your answers to three decimal places.)
x
f(x) = 5x − 3
-1
0
1
2
3
Sketch the graph of the function.
Identify any asymptotes of the graph. (Enter NONE in any unused answer blanks.)
vertical asymptote
x
=
horizontal asymptote
y
=
5. Use a graphing utility to construct a table of values for the function. (Round your answers to three decimal places.)
x
g(x) = 4 − e−3x
-4
-3
-2
-1
0
Sketch the graph of the function.
Identify any asymptotes of the graph. (Enter NONE in any unused answer blanks.)
vertical asymptote
x
=
horizontal asymptote
y
=
6. Fill in the blank.
If
x = ey,
then y = .
7. For what value of x is
ln x = ln 9?
x =
8. Write the logarithmic equation in exponential form. For example, the exponential form of
log5 25 = 2 is 52 = 25.
log2 512 = 9
=
9. Write the logarithmic equation in exponential form. For example, the exponential form of log5 25 = 2 is 52 = 25.
log
1
100,000,000
= -8
=
10. Write the exponential equation in logarithmic form. For example, the logarithmic form of
23 = 8 is log2(8) = 3.
43/2 = 8
log
=
11. Use a calculator to evaluate the function at the indicated value of x. Round your result to three decimal places.
f(x) = log10(x) x = 4/5
12. Solve the equation for x.
log10(102) = x
13. Write the logarithmic equation in exponential form. For example, the exponential form of ln(5) = 1.6094... is e1.6094... = 5. (Do not use ... in your answer.)
=
14. Write the exponential equation in logarithmic form. For example, the logarithmic form of
e2 = 7.3890 is ln 7.3890 = 2.
(Do not use ... in your answer.)
e2.2 = 9.0250
ln
=
15. Use the properties of natural logarithms to rewrite the expression.
5 ln(e5)
16. Use the properties of logarithms to rewrite and simplify the logarithmic expression.
ln
9
e9
17. Use the properties of logarithms to expand the expression as a ...
How to graph Functions
This lesson discusses graphing functions. It begins with examples of graphing functions given a limited domain by finding ordered pairs that satisfy the function and plotting the points. It then covers graphing functions with a domain of all real numbers by choosing values of x, finding corresponding y-values, plotting points to see a pattern, and drawing a line with arrowheads. The lesson shows how to use graphs to find function values and solve real-world problems by limiting domains to non-negative values.
4 4 graphingfx
This lesson discusses graphing functions. It begins with examples of graphing functions given a limited domain by finding the y-values that correspond to the given x-values. It then covers graphing functions with an unlimited domain by choosing sample x-values and connecting the points with a line or curve. The document provides examples of interpreting graphs to find function values and solving real-world word problems by graphing and interpreting functions.
Calculusseveralvariables.ppt
This document discusses several topics in calculus of several variables:
- Functions of several variables and their partial derivatives
- Maxima and minima of functions of several variables
- Double integrals and constrained maxima/minima using Lagrange multipliers
It provides examples of computing partial derivatives of functions, interpreting them geometrically, and using partial derivatives to determine rates of change. Level curves are also discussed as a way to sketch graphs of functions of two variables.
Calculus - 1 Functions, domain and range
This document defines functions and discusses key concepts related to functions including:
- A function relates each element of its domain to a unique element of its range.
- Functions can be one-to-one or many-to-one.
- Functions are represented in set notation, tabular form, equations, and graphs.
- The domain of a function is the set of possible inputs, and the range is the set of possible outputs.
Day 3a examples
Composite functions refer to combining two functions, where the output of the inner function is used as the input of the outer function. This is denoted as f(g(x)), where g(x) is evaluated first, and then substituted into f(x). Examples using tables and graphs are provided to demonstrate evaluating composite functions.
Similar to 2.3 graphs of functions (20)
1. Graph the exponential function by hand. Identify any asymptotes.docx
1. Graph the exponential function by hand. Identify any asymptotes.docx
More from hisema01
7.3 rational exponents
Nth roots can be expressed using rational exponents, where the denominator of the exponent is the index of the radical. To evaluate expressions with rational exponents, one should rewrite them in radical form, evaluate the radical, and then raise the expression to the power indicated by the original exponent. Examples are provided of evaluating various expressions with rational exponents.
6.6 quadratic formula
The document introduces the quadratic formula as a method for solving any quadratic equation in the standard form of ax^2 + bx + c = 0. It provides the quadratic formula, and shows an example of using it to solve for x in a quadratic equation. Users are then prompted to try solving for x in a quadratic equation using the quadratic formula.
6 7 new look at conics
This document discusses classifying second-degree equations as different types of conic sections. It provides the general form of a second-degree equation, explains how to use the discriminant to determine if the graph is a circle, ellipse, parabola, or hyperbola, and gives examples of identifying the conic section from different equations. Key aspects covered include degenerate conics, the general form containing terms for x2, xy, y2, x, y, and the constant, and using the discriminant calculated from the equation coefficients to classify the conic section.
6 6 systems of second degree equations
This document discusses methods for solving systems of second-degree equations, including algebraic substitution or elimination methods and graphical methods. It provides 3 examples of solving systems of equations algebraically and graphically, including solving systems of quadratic equations and systems involving circles.
4.4 multi step trig problems
This document provides instructions for solving for the length of a shared side (x) of two triangles. It instructs the user to write two equations, one for each triangle, relating the lengths of the sides including x. It also describes an approach for solving when the triangles form one large non-right triangle, which is to draw the altitude splitting it into two triangles and using the fact that triangle angles sum to 180 degrees. The user is then told to solve the two equations to find the value of x.
6 5 parabolas
This document provides an overview of parabolas including their key properties and examples of how to graph and write equations of parabolas. It defines that every point on a parabola is equidistant from the focus and directrix, with the directrix perpendicular to the line of symmetry and the vertex halfway between them. Examples are given of finding the focus, directrix, and graphing parabolas given these features as well as writing the equation of a parabola given its directrix.
4.3 finding missing angles
Inverse trig ratios, including sin-1, cos-1, and tan-1, are used to solve for missing angle measures. When given a decimal value for sin, cos, or tan, the corresponding inverse trig function is used to find the angle measure to the nearest degree. When given a triangle, the appropriate trig ratio is set up and the inverse function is then used to find the measure of the indicated angle to the nearest degree.
4.2 solving for missing sides
This document provides instructions for solving for a missing side of a triangle using trigonometric functions. It tells the reader to label the sides of the triangle, set up an equation using the information given, and solve for the variable to find the missing side, making sure a calculator is in degree mode.
4.1 trig ratios
This document defines and explains the three main trigonometric ratios - sine, cosine, and tangent - which are used to solve for missing angles and sides of right triangles. It identifies the hypotenuse as the longest side, and the adjacent and opposite sides in relation to a given angle. The document provides the ratio equations and examples of calculating trig ratios for various angles in a right triangle.
R.4 solving literal equations
This document defines a literal equation as an equation with two or more different variables. It provides examples of literal equations such as A = bh, where b is solved for, and P = 2L + 2W, where W is solved for. The document demonstrates how to solve various literal equations for the indicated variable, such as solving for P in I = Prt, solving for x in A = x + y^2, and solving for x and y in two additional equations.
R.3 solving 1 var inequalities
This document provides instructions for solving inequalities and graphing their solutions. It notes that when multiplying or dividing an inequality by a negative number, the inequality symbol is reversed. Open circles are used for < and >, while closed circles are used for ≤ and ≥. Examples are provided of solving various inequalities algebraically and graphing the resulting solution sets on a number line.
R.2 solving multi step equations
Multi-step equations involve more than two steps to solve. To solve them, simplify the side with variables by distributing and combining like terms, then solve as a single-step or two-step equation. The key steps are to distribute any parentheses, collect like variable terms on one side and constants on the other, and use opposite operations to solve for the variable.
R.1 simplifying expressions
Algebraic expressions contain numbers, variables, and operators and can be simplified using the distributive property and by combining like terms. The document provides examples of algebraic expressions that can be simplified by first distributing all terms inside parentheses and then combining like terms, such as 3(4n + 2) + n, which is simplified to 12n + 6 + n = 13n + 6.
10 4 solving trig equations
This document discusses two methods for solving trigonometric equations: graphing and algebraically. Graphing allows for visually seeing solutions but may result in decimal answers, while algebraic solving provides exact solutions but can become messy. It provides tips for algebraic solving based on whether the equation contains functions of 2x and x, or only 2x. Examples are given to demonstrate each method.
7 2 adding and subtracting polynomials
The document discusses several methods for adding and subtracting polynomials: using algebra tiles, the horizontal method, and the vertical method. It provides examples of adding and subtracting polynomials with one and two variables. Terms with the same variables are combined by adding the coefficients. For subtraction, the signs of the terms in the subtracted polynomial are changed before adding.
7 3 multiplying polynomials
This document discusses four methods for multiplying binomial expressions: algebra tiles, the distributive property, a table or "box" method, and FOIL. It explains that every term in the first binomial must be multiplied by every term in the second binomial. Examples are provided of multiplying binomials such as (x + 2)(x + 5), along with practice problems like (x + 3)(x - 4) and (2p - 4)(3p + 2).
7.2 simplifying radicals
The document discusses simplifying radical expressions. It defines key terms like the radical sign and radicand. It provides two methods for simplifying radicals: using the product property to rewrite with the largest perfect square factor or making a factor tree to pull out factors. Examples are provided to demonstrate simplifying radicals of various forms, including those with variables and higher root expressions. The document also contains practice problems for simplifying radical expressions.
10 3 double and half-angle formulas
1) This document discusses double-angle and half-angle formulas for trigonometric functions like sine, cosine, and tangent.
2) It derives formulas that relate trig functions of double and half angles to trig functions of the original angle, such as sin(2x) = 2sin(x)cos(x) and sin(x/2) = ±√(1-cos(x))/2.
3) Examples are provided to demonstrate applying these formulas to simplify trigonometric expressions and derive new identities.
6.7 other methods for solving
This document discusses two additional methods for solving quadratic equations: the quadratic formula and graphing. The quadratic formula can be used to solve any quadratic equation in standard form (ax^2 + bx + c = 0) by inputting the a, b, and c coefficients. Graphing involves changing the equation to y= form, plotting it on a calculator to find the x-intercepts, which are the solutions. Both methods are demonstrated with examples.
10 2 sum and diff formulas for tangent
1) Formulas are derived for tangent of the sum and difference of two angles using previous trigonometric identities: tan(α + β) = (tanα + tanβ) / (1 - tanαtanβ) and tan(α - β) = (tanα - tanβ) / (1 + tanαtanβ).
2) These formulas are valid when the tangents of the individual angles and their sum/difference are defined, which excludes cases where the cosine of any angle is 0.
3) Examples are provided to demonstrate applying these formulas to find the exact value of tangents of sums/differences of known angles.
More from hisema01 (20)
Recently uploaded
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
Gender and Mental Health - Counselling and Family Therapy Applications and In...
A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
Physical pharmaceutics notes for B.pharm students
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
Agenda
● What is event processing in MuleSoft?
● Types of event processing models in Mule 4
● Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
Speaker:-
Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
Organizers:-
Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
Giridhar Meka - https://www.linkedin.com/in/giridharmeka
Priya Shaw - https://www.linkedin.com/in/priya-shaw
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Topic : Bed making
Subject : Nursing Foundation
Constructing Your Course Container for Effective Communication
Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting
Wahiba Chair's Talk at the 2024 Learning Ideas Conference. Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Wound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Recently uploaded (20)
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
spot a liar (Haiqa 146).pptx Technical writhing and presentation skills
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Constructing Your Course Container for Effective Communication
Constructing Your Course Container for Effective Communication
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
2.3 graphs of functions
- 2. Input variable goes on the horizontal (x) axis. Output variable goes on vertical (y) axis. Example: This graphs shows the function f(x).
- 3. Move left/right to the given input value. From there, move up/down to find the output value. Find: f(-2) f(0) f(2)
- 4. Evaluate each expression using the graph. g(0) g(2) g(-4) g(3)
- 5. Evaluate: h(-4) h(1) h(-2.5) h(3) h(0)
- 6. f (x) 2x 3 Use the functions above to evaluate these expressions: f(2) g(4) h(1) g(t) 7 2t 2 h(v) 3v 12v 18
- 7. Use these functions to evaluate the following expressions: g(r) 5 2r2 k(p) 2p 1 k(4) z(1) g(-3) w 2 5 ( ) 3 6 z w w
- 8. Use these functions to evaluate the following expressions: f (x) 3x2 4 h(2) f(-3) g(-1)