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Section 1.5 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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increasing and decreasing functions
Increasing and

Decreasing Functions

slide4

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

slide6

Example

Find where the graph is increasing? Where is it decreasing? Where is it constant?

slide7

Example

Find where the graph is increasing? Where is it decreasing? Where is it constant?

relative maxima and relative minima
Relative Maxima

And

Relative Minima

slide10

Where are the relative minimums? Where are the relative maximums?

Why are the maximums and minimums called relative or local?

Example

slide14

Example

Is this an even or odd function?

slide15

Example

Is this an even or odd function?

slide16

Example

Is this an even or odd function?

slide19

Example

Find and interpret each of the following.

slide20

Example

Graph the following piecewise function.

functions and difference quotients
Functions and

Difference Quotients

slide25

Example

Find and simplify the expressions if

slide26

Example

Find and simplify the expressions if

slide27

Example

Find and simplify the expressions if

slide30

(a)

(b)

(c)

(d)

slide31

(a)

(b)

(c)

(d)

slide32

(a)

(b)

(c)

(d)

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