Absolute Value Functions and Graphs

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Presentation transcript:

Absolute Value Functions and Graphs Lesson 2-5 2-5 Absolute Value Functions Pg 88

Absolute Value Functions and Graphs Lesson 2-5 Absolute Value Function f(x) = | mx + b | + c where m cannot = 0. f(x) = | 2x – 5 | y = –|x + 3|. Vertex- point where the function reaches a maximum on minimim. The vertex is located at (-b/m, c) Find the vertex above.

Absolute Value Functions and Graphs Graph y = | x |

Absolute Value Functions and Graphs Lesson 2-5 Additional Examples Graph y = |2x – 1| by using a table of values. Evaluate the equation for several values of x. x –1.5 –1 –0.5 0 0.5 1 1.5 2 2.5 y 4 3 2 1 0 1 2 3 4 Make a table of values. Graph the function.

Absolute Value Functions and Graphs Graph y = | 2x – 5|

Absolute Value Functions and Graphs Graph y = - | x + 1 | - 2

Absolute Value Functions and Graphs Lesson 2-5 Additional Examples Graph y = |x – 1| – 1 on a graphing calculator. Use the absolute value key. Graph the equation Y1 = abs(X – 1) – 1

Absolute Value Functions and Graphs Graph y = - | 3x + 4 | in your graphing calculator.

Absolute Value Functions and Graphs Homework Pg 90 2-18 even