Chapter 2: Functions, Equations, and Graphs

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Presentation transcript:

Chapter 2: Functions, Equations, and Graphs Section 2.7: Absolute Value Functions and Graphs

Section 2.7: Absolute Value Functions and Graphs Goal: To graph absolute value functions

Section 2.7: Absolute Value Functions and Graphs Absolute Value Graph: f(x) = |x| (the parent graph) V-shaped Has an axis of symmetry: an imaginary vertical line that goes through the vertex Vertex: a single maximum or single minimum point

Section 2.7: Absolute Value Functions and Graphs

Section 2.7: Absolute Value Functions and Graphs

Section 2.7: Absolute Value Functions and Graphs Examples: 1. What is the graph of the absolute value function y = |x| + 3? How is this graph different from the parent function f(x) = |x|?

Section 2.7: Absolute Value Functions and Graphs Examples: Which of the following is the graph of y = |x + 3| – 1

Section 2.7: Absolute Value Functions and Graphs What is the graph of y = ? What are transformations of the parent function?

Section 2.7: Absolute Value Functions and Graphs

Section 2.7: Absolute Value Functions and Graphs 4. Compare y = -2 |x + 2| + 3 with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?

Section 2.7: Absolute Value Functions and Graphs 5. What is the equation of the absolute value function?

Section 2.7: Absolute Value Functions and Graphs Homework: Pg. 111 #8-30 (even), #36-44 (even)