1. 3.5 Absolute Value Functions

2. Absolute Value Function
Has the form
An absolute value functions has graph that forms a V

3. To graph absolute value functions
Find the vertex.
(Set the value inside the abs signs equal to zero)
Make a table of values (an x/y chart).
Choose enough x-values to create both legs of the V.
Plot the points and connect them.

4. Ex 1
Graph

5. Ex 2
Graph

6. Ex 3
Graph

7. Ex 4
Graph

8. Characteristics of Absolute Value Functions
If the function is ______________, the V opens upward. If the function is ___________, the V opens downward.
If there is a number added or subtracted inside the absolute value bars, the V is shifted ________________.
If there is a number added or subtracted outside the absolute value bars, the V is shifted ________________.
If the function is multiplied by a coefficient, the V gets narrower or wider.