Exercise #11 Graphing Absolute Value

Recall x

Definition: Example

Write ( ) 2f x x as a piece-wise function.

The graph of ( )f x is:

y

x

Example

Graph ( ) 2 1f x x

y

x

Example

Graph 2( ) 1f x x

y

x

Example

Graph 2( ) 3 4f x x

y

x

Example

Graph ( ) cosf x x

y

x

Example

Graph ( ) 2 3 1f x x

y

x

Piece-Wise Graphs

Ex. 2

2

( )

x

f x x

x

when

y

x

x < 0

0 x 2

x > 3