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Section 1.5 More on Functions and Their Graphs

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# Section 1.5 More on Functions and Their Graphs - PowerPoint PPT Presentation

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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### Section 1.5 More on Functions andTheir Graphs

Increasing and

Decreasing Functions

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

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

Why are the maximums and minimums called relative or local?

Example

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)