1. Welcome: The graph of f(x) = |x – 3| – 6 is given below
Welcome: The graph of f(x) = |x – 3| – 6 is given below. Find the domain values for which: a) f(x) = 0 b) f(x) > 0 c) f(x) < 0

2. HW Key: p. 124: 48 – 53 {-6, 2} {0, 8/3} {-7, 1} {-1/2, 1} {7/3, 9/3}
{0, 1}

3. Objectives & HW:
The students will be able to graph absolute value functions in vertex form.
HW: Solving Absolute Value Equations & Inequalities WKS

4. 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.

5. 2. 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. 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.

7. 4. 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.

8. 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.

9. 6. 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.

10. Write the equation for each graph in the form .5.

11. Write the equation for each graph in the form .6.

12. Write the equation for each graph in the form .7.

13. Write the equation for each graph in the form .8.