Welcome: The graph of f(x) = |x – 3| – 6 is given below

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Presentation transcript:

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

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

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

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 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.

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 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. 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 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.

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

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

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

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