1. Analysis of Absolute Value Functions Date:______________________
I. Complete the analysis of each absolute value function.
Draw the graph of
and identify:
Vertex: m =
Domain
Range
Values for which the function is
increasing
decreasing
The extreme value and state whether
it is a minimum or maximum
The equation of the axis of symmetry
Values for which f(x) > 0
Values for which f(x) , 0.
2. Draw the graph of
Vertex: m =
Values for which f(x) > 0.
Values for which f(x) < 0.

2. 3. Draw the graph of
and identify:
Vertex: m =
Domain
Range
Values for which the function is
increasing
decreasing
The extreme value and state whether
it is a minimum or maximum
The equation of the axis of symmetry
Values for which f(x) > 0.
Values for which f(x) < 0.
4. Draw the graph of
Vertex: m =

3. 5. Draw the graph of
and identify:
Vertex: m =
Domain
Range
Values for which the function is
increasing
decreasing
The extreme value and state whether
it is a minimum or maximum
The equation of the axis of symmetry
Values for which f(x) > 0.
Values for which f(x) < 0.
6. Draw the graph of
Vertex: m =

4. Write the equation for each graph in the form .