Absolute Value Functions Worksheet

Solutions

Graph the Following Absolute Value Functions:

1f(x) = |x − 2|

2f(x) = |x² −4x + 3|

3f(x) = |−x² + 5x − 4|

4f(x) = |x| − x

5f(x) = |x|/x

1

Graph the absolute value function:

f(x) = |x − 2|

Function Intervals

Absolute Value Function

Absolute Value Function

2

Graph the absolute value function:

f(x) = |x² −4x + 3|

x² −4x + 3 = 0 x = 1 x = 3

Function Intervals

Absolute Value Function

Absolute Value Function

3

Graph the absolute value function:

f(x) = |−x² + 5x − 4|

−x² + 5x − 4 =0 x² − 5x + 4 =0 x = 1 x = 4

Function Intervals

Absolute Value Function

Absolute Value Function

4

Graph the absolute value function:

f(x) = |x| − x

x = 0

Absolute Value Function

Absolute Value Function

Absolute Value Function

5

Graph the absolute value function:

f(x) = |x|/x

x = 0

Absolute Value Function

Absolute Value Function

Absolute Value Function