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


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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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Section 1.5 More on Functions and Their Graphs

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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.


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?


Piecewise Functions


Example

Find and interpret each of the following.


Example

Graph the following piecewise function.


Functions and

Difference Quotients


See next slide.


Continued on the next slide.


Example

Find and simplify the expressions if


Example

Find and simplify the expressions if


Example

Find and simplify the expressions if


Example


(a)

(b)

(c)

(d)


(a)

(b)

(c)

(d)


(a)

(b)

(c)

(d)


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