This document provides 40 examples of tutorials for constructing tables and graphs of square root functions. Each tutorial examines a square root function of the form y = sqrt(ax + b) + c or y = d * sqrt(ax + b) + c, varying the values of a, b, c, and d to demonstrate different forms of square root functions.
Computer Graphics in Java and Scala - Part 1bPhilip Schwarz
First see the Scala program from Part 1 translated into Java.
Then see the Scala program modified to produce a more intricate drawing.
Java Code: https://github.com/philipschwarz/computer-graphics-50-triangles-java
Scala Code: https://github.com/philipschwarz/computer-graphics-chessboard-with-a-great-many-squares-scala
Design Given part on solidworks.
Write all steps which is followed in designing process and manufacturing process of given part.
This manual of 4th year mechanical engineering of CAD lab
SAMPLE QUESTIONExercise 1 Consider the functionf (x,C).docxagnesdcarey33086
SAMPLE QUESTION:
Exercise 1: Consider the function
f (x,C)=
sin(C x)
Cx
(a) Create a vector x with 100 elements from -3*pi to 3*pi. Write f as an inline or anonymous function
and generate the vectors y1 = f(x,C1), y2 = f(x,C2) and y3 = f(x,C3), where C1 = 1, C2 = 2 and
C3 = 3. Make sure you suppress the output of x and y's vectors. Plot the function f (for the three
C's above), name the axis, give a title to the plot and include a legend to identify the plots. Add a
grid to the plot.
(b) Without using inline or anonymous functions write a function+function structure m-file that does
the same job as in part (a)
SAMPLE LAB WRITEUP:
MAT 275 MATLAB LAB 1 NAME: __________________________
LAB DAY and TIME:______________
Instructor: _______________________
Exercise 1
(a)
x = linspace(-3*pi,3*pi); % generating x vector - default value for number
% of pts linspace is 100
f= @(x,C) sin(C*x)./(C*x) % C will be just a constant, no need for ".*"
C1 = 1, C2 = 2, C3 = 3 % Using commans to separate commands
y1 = f(x,C1); y2 = f(x,C2); y3 = f(x,C3); % supressing the y's
plot(x,y1,'b.-', x,y2,'ro-', x,y3,'ks-') % using different markers for
% black and white plots
xlabel('x'), ylabel('y') % labeling the axis
title('f(x,C) = sin(Cx)/(Cx)') % adding a title
legend('C = 1','C = 2','C = 3') % adding a legend
grid on
Command window output:
f =
@(x,C)sin(C*x)./(C*x)
C1 =
1
C2 =
2
C3 =
3
(b)
M-file of structure function+function
function ex1
x = linspace(-3*pi,3*pi); % generating x vector - default value for number
% of pts linspace is 100
C1 = 1, C2 = 2, C3 = 3 % Using commans to separate commands
y1 = f(x,C1); y2 = f(x,C2); y3 = f(x,C3); % function f is defined below
plot(x,y1,'b.-', x,y2,'ro-', x,y3,'ks-') % using different markers for
% black and white plots
xlabel('x'), ylabel('y') % labeling the axis
title('f(x,C) = sin(Cx)/(Cx)') % adding a title
legend('C = 1','C = 2','C = 3') % adding a legend
grid on
end
function y = f(x,C)
y = sin(C*x)./(C*x);
end
Command window output:
C1 =
1
C2 =
2
C3 =
3
Joe Bob
Mon lab: 4:30-6:50
Lab 3
Exercise 1
(a) Create function M-file for banded LU factorization
function [L,U] = luband(A,p)
% LUBAND Banded LU factorization
% Adaptation to LUFACT
% Input:
% A diagonally dominant square matrix
% Output:
% L,U unit lower triangular and upper triangular such that LU=A
n = length(A);
L = eye(n); % ones on diagonal
% Gaussian Elimination
for j = 1:n-1
a = min(j+p.
Computer Graphics in Java and Scala - Part 1bPhilip Schwarz
First see the Scala program from Part 1 translated into Java.
Then see the Scala program modified to produce a more intricate drawing.
Java Code: https://github.com/philipschwarz/computer-graphics-50-triangles-java
Scala Code: https://github.com/philipschwarz/computer-graphics-chessboard-with-a-great-many-squares-scala
Design Given part on solidworks.
Write all steps which is followed in designing process and manufacturing process of given part.
This manual of 4th year mechanical engineering of CAD lab
SAMPLE QUESTIONExercise 1 Consider the functionf (x,C).docxagnesdcarey33086
SAMPLE QUESTION:
Exercise 1: Consider the function
f (x,C)=
sin(C x)
Cx
(a) Create a vector x with 100 elements from -3*pi to 3*pi. Write f as an inline or anonymous function
and generate the vectors y1 = f(x,C1), y2 = f(x,C2) and y3 = f(x,C3), where C1 = 1, C2 = 2 and
C3 = 3. Make sure you suppress the output of x and y's vectors. Plot the function f (for the three
C's above), name the axis, give a title to the plot and include a legend to identify the plots. Add a
grid to the plot.
(b) Without using inline or anonymous functions write a function+function structure m-file that does
the same job as in part (a)
SAMPLE LAB WRITEUP:
MAT 275 MATLAB LAB 1 NAME: __________________________
LAB DAY and TIME:______________
Instructor: _______________________
Exercise 1
(a)
x = linspace(-3*pi,3*pi); % generating x vector - default value for number
% of pts linspace is 100
f= @(x,C) sin(C*x)./(C*x) % C will be just a constant, no need for ".*"
C1 = 1, C2 = 2, C3 = 3 % Using commans to separate commands
y1 = f(x,C1); y2 = f(x,C2); y3 = f(x,C3); % supressing the y's
plot(x,y1,'b.-', x,y2,'ro-', x,y3,'ks-') % using different markers for
% black and white plots
xlabel('x'), ylabel('y') % labeling the axis
title('f(x,C) = sin(Cx)/(Cx)') % adding a title
legend('C = 1','C = 2','C = 3') % adding a legend
grid on
Command window output:
f =
@(x,C)sin(C*x)./(C*x)
C1 =
1
C2 =
2
C3 =
3
(b)
M-file of structure function+function
function ex1
x = linspace(-3*pi,3*pi); % generating x vector - default value for number
% of pts linspace is 100
C1 = 1, C2 = 2, C3 = 3 % Using commans to separate commands
y1 = f(x,C1); y2 = f(x,C2); y3 = f(x,C3); % function f is defined below
plot(x,y1,'b.-', x,y2,'ro-', x,y3,'ks-') % using different markers for
% black and white plots
xlabel('x'), ylabel('y') % labeling the axis
title('f(x,C) = sin(Cx)/(Cx)') % adding a title
legend('C = 1','C = 2','C = 3') % adding a legend
grid on
end
function y = f(x,C)
y = sin(C*x)./(C*x);
end
Command window output:
C1 =
1
C2 =
2
C3 =
3
Joe Bob
Mon lab: 4:30-6:50
Lab 3
Exercise 1
(a) Create function M-file for banded LU factorization
function [L,U] = luband(A,p)
% LUBAND Banded LU factorization
% Adaptation to LUFACT
% Input:
% A diagonally dominant square matrix
% Output:
% L,U unit lower triangular and upper triangular such that LU=A
n = length(A);
L = eye(n); % ones on diagonal
% Gaussian Elimination
for j = 1:n-1
a = min(j+p.
MODULE 5 QuizQuestion1. Find the domain of the function. E.docxmoirarandell
MODULE 5 Quiz
Question
1.
Find the domain of the function. Express your answer in interval notation.
a.
b.
c.
d.
2.
Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
3.
Graph f(x) = |x – 1|.
a.
b.
c.
d.
4.
Determine whether the function is even, odd, or neither. f(x) = x5 + 4
a. Even
b. Odd
c. Neither
5.
Find the value of f(3) if f(x) = 4x2 + x.
a. 38
b. 39
c. 40
d. 41
6.
Use the graph of the function to estimate: (a) f(–6), (b) f(1), (c) All x such that f(x) = 3
a. (a) 4 (b) 3 (c) –5, 1
b. (a) 5 (b) 4 (c) –3, 1
c. (a) 1 (b) 2 (c) –5, 2
d. (a) 7 (b) 5 (c) –5, 6
7.
The graph of the function g is formed by applying the indicated sequence of transformations to the given function f. Find an equation for the function g. The graph of is horizontally stretched by a factor of 0.1, reflected in the y axis, and shifted four units to the left.
a.
b.
c.
d.
8.
Evaluate f(–1).
a. –1
b. 8
c. 0
d. –2
9.
Determine whether the function is even, odd, or neither. f(x) = x3 – 10x
a. Even
b. Odd
c. Neither
10.
Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
11.
Determine whether the equation defines a function with independent variable x. If it does, find the domain. If it does not, find a value of x to which there corresponds more than one value of y. x|y| = x + 5
a. A function with domain all real numbers
b. A function with domain all real numbers except 0
c. Not a function: when x = 0, y = ±5
d. Not a function: when x = 1, y = ±6
12.
Graph y = (x – 2)2 + 1
a.
b.
c.
d.
13.
Find the y-intercept(s).
a. –2
b. 1, –3
c. –3
d. None
14.
Determine whether the correspondence defines a function. Let F be the set of all faculty teaching Chemistry 101 at a university, and let S be the set of all students taking that course. Students from set S correspond to their Chemistry 101 instructors.
a. A function
b. Not a function
15.
Determine whether the function is even, odd, or neither. f(x) = –4x2 + 5x + 3
a. Even
b. Odd
c. Neither
16.
Indicate whether the table defines a function.
a. Function
b. Not a function
17.
Use the graph of the function to estimate: (a) f(1), (b) f(–5),and (c) All x such that f(x) = 3
a. (a) –3 (b) –9 (c) 7
b. (a) –3 (b) –9 (c) –1
c. (a) 5 (b) –1 (c) 7
d. (a) 5 (b) –1 (c) –1
18.
Find the intervals over which f is increasing.
a. (–∞, –2], [1, ∞)
b. (–3, ∞)
c. (–∞, –3], [1, ∞)
d. None
19.
Evaluate f(4).
a. 4
b. 10
c. 5
d. –2
20.
Indicate whether the graph is the graph of a function.
a. Function
b. Not a function
21.
Sketch the graph of the function f(x) = –2x + 3.
a.
b.
22.
Find the intervals over which f is decreasing.
a. (–∞, –2), [1, ∞)
b. (–∞, –2], [1, ∞)
c. (–∞, –3), [1, ∞)
d. (–∞, –3], [1, ∞)
23.
Indicate whether the table defines a function.
a. Function
b. Not a function
24.
Indicate whether the graph is the graph of a function.
a. ...
A hands-on activity for explore a variety of math topics, including:
* Circumference and Diameter
* Linear functions and slope
* Ratios
* Data gathering and scatterplot
For more math resources, go to www.media4math.com.
Tutorials--The Language of Math--Variable Expressions--Multiplication and Sub...Media4math
This set of tutorials provides 32 examples of converting verbal expressions into variable expressions that involve multiplication and subtraction. Note: The download is a PPT file.
Tutorials--The Language of Math--Numerical Expressions--Multiplication Media4math
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve multiplication. Note: The download is a PPT file.
Tutorials--The Language of Math--Numerical Expressions--Division Media4math
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve division. Note: The download is a PPT file.
Tutorials--The Language of Math--Numerical Expressions--SubtractionMedia4math
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve subtraction. Note: The download is a PPT file.
Tutorials--Language of Math--Numerical Expressions--AdditionMedia4math
This set of tutorials provides 40 examples of converting verbal expressions into numerical expressions that involve addition. The verbal expressions include these terms:
Plus
Increased by
In addition to
Added to
More than
In this issue of Math in the News we explore logarithmic functions to model the thawing of frozen turkeys. We look at USDA guidelines to determine data points and use a graphing calculator to create mathematical models.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
2. Overview
This set of tutorials provides 40 examples of
square root functions in tabular and graph form.
3. Tutorial--Square Root Functions in Tabular and Graph Form: Example 01. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: a = 1, b = 0.
4. Tutorial--Square Root Functions in Tabular and Graph Form: Example 02. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: a > 1, b = 0.
5. Tutorial--Square Root Functions in Tabular and Graph Form: Example 03. In this
tutorial, construct a function table and graph for a square root function of the form
y = sqrt(ax +b) with these characteristics: a < -1, b = 0.
6. Tutorial--Square Root Functions in Tabular and Graph Form: Example 04. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: 0 < a < 1, b = 0.
7. Tutorial--Square Root Functions in Tabular and Graph Form: Example 05. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: -1 < a < 0, b = 0.
8. Tutorial--Square Root Functions in Tabular and Graph Form: Example 06. In this
tutorial, construct a function table and graph for a square root function of the
form y = sqrt(ax +b) with these characteristics: a = 1, b = 1.
9. Tutorial--Square Root Functions in Tabular and Graph Form: Example 07. In this
tutorial, construct a function table and graph for a square root function of the form
y = sqrt(ax +b) with these characteristics: a > 1, b = 1.
10. Tutorial--Square Root Functions in Tabular and Graph Form: Example 08. In this
tutorial, construct a function table and graph for a square root function of the
form y = sqrt(ax +b) with these characteristics: a < -1, b = 1.
11. Tutorial--Square Root Functions in Tabular and Graph Form: Example 09. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: 0 < a < 1, b = 1.
12. Tutorial--Square Root Functions in Tabular and Graph Form: Example 10. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) with these characteristics: -1 < a < 0, b = 1.
13. Tutorial--Square Root Functions in Tabular and Graph Form: Example 11. In this
tutorial, construct a function table and graph for a square root function of the form y =
sqrt(ax +b) + c with these characteristics: a = 1, b = 0, c = 1.
14. Tutorial--Square Root Functions in Tabular and Graph Form: Example 12. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a > 1, b = 0, c = 1.
15. Tutorial--Square Root Functions in Tabular and Graph Form: Example 13. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a < -1, b = 0, c = 1.
16. Tutorial--Square Root Functions in Tabular and Graph Form: Example 14. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: 0 < a < 1, b = 0, c = 1.
17. Tutorial--Square Root Functions in Tabular and Graph Form: Example 15. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: -1 < a < 0, b = 0, c = 1.
18. Tutorial--Square Root Functions in Tabular and Graph Form: Example 16. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a = 1, b = 1, c = 1.
19. Tutorial--Square Root Functions in Tabular and Graph Form: Example 17. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a > 1, b = 1, c = 1.
20. Tutorial--Square Root Functions in Tabular and Graph Form: Example 18. In this
tutorial, construct a function table and graph for a square root function of the form y =
sqrt(ax +b) + c with these characteristics: a < -1, b = 1, c = 1.
21. Tutorial--Square Root Functions in Tabular and Graph Form: Example 19. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: 0 < a < 1, b = 1, c = 1.
22. Tutorial--Square Root Functions in Tabular and Graph Form: Example 20. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: -1 < a < 0, b = 1, c = 1.
23. Tutorial--Square Root Functions in Tabular and Graph Form: Example 21. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a = 1, b = 0, c = -1.
24. Tutorial--Square Root Functions in Tabular and Graph Form: Example 22. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a > 1, b = 0, c = -1.
25. Tutorial--Square Root Functions in Tabular and Graph Form: Example 23. In this
tutorial, construct a function table and graph for a square root function of the form y =
sqrt(ax +b) + c with these characteristics: a < -1, b = 0, c = -1.
26. Tutorial--Square Root Functions in Tabular and Graph Form: Example 24. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: 0 < a < 1, b = 0, c = -1.
27. Tutorial--Square Root Functions in Tabular and Graph Form: Example 25. In this
tutorial, construct a function table and graph for a square root function of the form y =
sqrt(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1.
28. Tutorial--Square Root Functions in Tabular and Graph Form: Example 26. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a = 1, b = 1, c = -1.
29. Tutorial--Square Root Functions in Tabular and Graph Form: Example 27. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a > 1, b = 1, c = -1.
30. Tutorial--Square Root Functions in Tabular and Graph Form: Example 28. In this
tutorial, construct a function table and graph for a square root function of the form y
= sqrt(ax +b) + c with these characteristics: a < -1, b = 1, c = -1.
31. Tutorial--Square Root Functions in Tabular and Graph Form: Example 29. In this tutorial,
construct a function table and graph for a square root function of the form y = sqrt(ax
+b) + c with these characteristics: 0 < a < 1, b = 1, c = -1.
32. Tutorial--Square Root Functions in Tabular and Graph Form: Example 30. In this
tutorial, construct a function table and graph for a square root function of the form y =
sqrt(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = -1.
33. Tutorial--Square Root Functions in Tabular and Graph Form: Example 31. In this tutorial,
construct a function table and graph for a square root function of the form y= d •
sqrt(ax +b) + c with these characteristics: a = 1, b = 0, c = -1, d = -1.
34. Tutorial--Square Root Functions in Tabular and Graph Form: Example 32. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: a > 1, b = 0, c = -1, d = -1.
35. Tutorial--Square Root Functions in Tabular and Graph Form: Example 33. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: a < -1, b = 0, c = -1, d = -1.
36. Tutorial--Square Root Functions in Tabular and Graph Form: Example 34. In this tutorial,
construct a function table and graph for a square root function of the form y= d • sqrt(ax +b) + c
with these characteristics: 0 < a < 1, b = 0, c = -1, d = -1.
37. Tutorial--Square Root Functions in Tabular and Graph Form: Example 35. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: -1 < a < 0, b = 0, c = -1, d = -1.
38. Tutorial--Square Root Functions in Tabular and Graph Form: Example 36. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: a = 1, b = 1, c = -1, d = -1.
39. Tutorial--Square Root Functions in Tabular and Graph Form: Example 37. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: a > 1, b = 1, c = -1, d = -1.
40. Tutorial--Square Root Functions in Tabular and Graph Form: Example 38. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: a < -1, b = 1, c = -1, d = -1.
41. Tutorial--Square Root Functions in Tabular and Graph Form: Example 39. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: 0 < a < 1, b = 1, c = -1, d = -1.
42. Tutorial--Square Root Functions in Tabular and Graph Form: Example 40. In this
tutorial, construct a function table and graph for a square root function of the form y=
d • sqrt(ax +b) + c with these characteristics: -1 < a < 0, b = 1, c = -1, d = -1.