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This section discusses properties of quadratic functions including their graphs, minimum and maximum values, and axis of symmetry. It covers labeling key features such as the vertex on the graph of a quadratic function in standard form and identifying the axis of symmetry.
Section 2 and 3
This document discusses power functions and variation, analyzing power functions, monomial functions, end behavior, even or odd functions, terminology, and graphs facts. It states that a polynomial function of degree n has at most n - 1 local extrema and at most n zeros. It also notes that the graph of a polynomial function of degree n has at most n - 1 turns and that the zeros of the function are the x-intercepts of its corresponding graph.
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Section 1.5
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The document discusses mathematical modeling and functions. It defines a mathematical model as a structure that approximates real-world phenomena to study or predict behavior. It then discusses numerical, algebraic and graphical models. It also discusses functions, including defining them, representing them with equations, graphs and mappings, and determining their domains and ranges. It provides examples of finding domains and ends with homework problems assigned.
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The document discusses mathematical modeling and functions. It defines mathematical modeling as using mathematical structures to approximate real-world phenomena in order to study or predict behavior. It then discusses different types of mathematical models like numerical, algebraic and graphical models. The rest of the document focuses on defining and representing functions, including discussing domain and range, and ways to find the domain of a function either algebraically or graphically. It concludes by listing specific homework problems.
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The document discusses solving linear inequalities and includes three topics: forms of linear inequalities, compound inequalities, and homework assigned which includes odd numbered problems 23 through 33 and 37 through 47 on page 45 of the text.
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This document lists key properties of numbers and operations covered in two sections. Section P.6 covers commutative and associative properties of addition and multiplication as well as the distributive property of multiplication over addition and subtraction. Section P.7 directs students to complete specific math problems from two different pages focusing on odd numbered questions.
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1. This document discusses different ways to represent functions including equations, tables, and mapping diagrams. It provides examples of each.
2. Strategies for solving problems are outlined, including using formulas, patterns, and drawing diagrams. Specific math problems are provided as examples.
3. Homework assignments are listed at the end, including problem numbers from pages 31-32 and 38-39.
Alg2 sections 1.4-1.5
This document provides an overview of rewriting formulas and equations. It includes sections on common formulas, solving for variables, examples to practice, and application problems. Formulas covered include distance, temperature, areas of shapes, and circumference. It also discusses strategies for problem solving like using formulas, patterns, and diagrams. Sample problems are provided for average speed, finding heights from a pattern, and positioning posters on a wall. The document concludes with assigned homework problems.
Pc sections p.4-p.5
This document provides an overview of topics in algebra including:
1) Different forms of equations for lines (slope-intercept, point-slope, etc.) and quadratics (general, vertex).
2) How to determine if lines are parallel or perpendicular.
3) Methods for graphing and solving linear and quadratic equations (finding intercepts, using a graphing calculator, extracting roots, using the quadratic formula).
4) An example word problem on investing money with different interest rates and determining the amount to invest to earn a target return.
5) Assigned homework problems from the textbook.
Pa sections 1-2
This document provides instructions for performing common mathematical operations like addition, subtraction, multiplication, and division. It includes examples of writing down a number and then performing sequential operations on it like doubling, adding or subtracting other numbers, dividing, and subtracting the original number. The document also lists common words used to indicate different operations and directs the reader to specific math problems to complete on designated pages.
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This document summarizes key concepts from sections 1 and 2 of chapter 1 including:
- PEMDAS order of operations with parentheses, exponents, multiplication/division, addition/subtraction.
- Definitions of powers/exponents as repeated multiplication with a base and exponent.
- Examples of evaluating expressions and algebraic equations.
- Formulas for estimating a frog's jump distance, points earned in soccer, and adult height based on childhood height.
- Practice problems listed for pages 5-7 and 10-12.
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This document provides an overview of number types including real numbers, imaginary numbers, rational numbers, irrational numbers, integers, whole numbers, and natural numbers. It also covers interval notation and types of intervals. Key concepts covered include the x-axis, y-axis, origin, ordered pairs, coordinates, quadrants, absolute value, distance formula, midpoint formula, and the standard form of a circle. Practice problems are assigned from pages 9-10, 17-19, and 25-27 of the text.