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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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**Increasing and**Decreasing Functions**The open intervals describing where functions increase,**decrease, or are constant, use x-coordinates and not the y-coordinates.**Find where the graph is increasing? Where is it decreasing?**Where is it constant? Example**Example**Find where the graph is increasing? Where is it decreasing? Where is it constant?**Example**Find where the graph is increasing? Where is it decreasing? Where is it constant?**Relative Maxima**And Relative Minima**Where are the relative minimums? Where are the relative**maximums? Why are the maximums and minimums called relative or local? Example**Even and Odd Functions**and Symmetry**Example**Is this an even or odd function?**Example**Is this an even or odd function?**Example**Is this an even or odd function?**Example**Find and interpret each of the following.**Example**Graph the following piecewise function.**Functions and**Difference Quotients**Example**Find and simplify the expressions if**Example**Find and simplify the expressions if**Example**Find and simplify the expressions if**(a)**(b) (c) (d)**(a)**(b) (c) (d)**(a)**(b) (c) (d)

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