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# Section 2.2 More on Functions and Their Graphs

Section 2.2 More on Functions and Their Graphs . Increasing and Decreasing Functions. The open intervals describing where functions increase, decrease, or are constant, use x-coordinates and not the y-coordinates.

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## Section 2.2 More on Functions and Their Graphs

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1. Section 2.2 More on Functions and Their Graphs

2. Increasing and Decreasing Functions

3. The open intervals describing where functions increase, decrease, or are constant, use x-coordinates and not the y-coordinates.

4. Find where the graph is increasing? Where is it decreasing? Where is it constant? Example

5. Example Find where the graph is increasing? Where is it decreasing? Where is it constant?

6. Example Find where the graph is increasing? Where is it decreasing? Where is it constant?

7. Relative Maxima And Relative Minima

8. Where are the relative minimums? Where are the relative maximums? Why are the maximums and minimums called relative or local? Example

9. Even and Odd Functions and Symmetry

10. Example Is this an even or odd function?

11. Example Is this an even or odd function?

12. Example Is this an even or odd function?

13. Piecewise Functions

14. Example Find and interpret each of the following.

15. Example Graph the following piecewise function.

16. Functions and Difference Quotients

17. See next slide.

18. Continued on the next slide.

19. Example Find and simplify the expressions if

20. Example Find and simplify the expressions if

21. Example Find and simplify the expressions if

22. Example

23. (a) (b) (c) (d)

24. (a) (b) (c) (d)

25. (a) (b) (c) (d)

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