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Objectives: Explore features of the absolute-value function. Explore basic transformations of the absolute-value function. Standards Addressed: 2.8.11.O:

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Presentation on theme: "Objectives: Explore features of the absolute-value function. Explore basic transformations of the absolute-value function. Standards Addressed: 2.8.11.O:"— Presentation transcript:

1 Objectives: Explore features of the absolute-value function. Explore basic transformations of the absolute-value function. Standards Addressed: 2.8.11.O: Determine the domain and range of a relation. 2.8.11.Q: Represent functional relationship in tables, charts, and graphs.

2  The first coordinates in the set of ordered pairs are the domain of the relation, and the second coordinates are the range of the relation.

3

4  A. Domain All Reals Range y > 0

5  Domain All Reals  Range y > 0

6  Domain all real numbers  Range y > o

7  Domain all real #s  Range y > 4

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9

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11  Reflect x axis  Vertical Translation down 4

12  Horizontal Translation Right 10  Vertical Translation up 2

13  Horizontal Compression 1/6  Horizontal Translation Right

14  Reflection x axis  Vertical Stretch 3

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16  2. What happens to the graph of the function y = IxI when it is reflected through the y-axis verse the x-axis?  3. How does the graph of y = 3IxI compare with the graph of y = IxI?

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