Section 1 5 more on functions and their graphs
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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

Section 1.5 More on Functions andTheir Graphs


Increasing and decreasing functions

Increasing and

Decreasing Functions


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



Example Where is it constant?

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


Example Where is it constant?

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


Relative maxima and relative minima

Relative Maxima Where is it constant?

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

Even and Odd Functions maximums?

and Symmetry


Example maximums?

Is this an even or odd function?


Example maximums?

Is this an even or odd function?


Example maximums?

Is this an even or odd function?



Example maximums?

Find and interpret each of the following.


Example maximums?

Graph the following piecewise function.


Functions and difference quotients

Functions and maximums?

Difference Quotients


See next slide. maximums?



Example maximums?

Find and simplify the expressions if


Example maximums?

Find and simplify the expressions if


Example maximums?

Find and simplify the expressions if


Example maximums?


(a) maximums?

(b)

(c)

(d)


(a) maximums?

(b)

(c)

(d)


(a) maximums?

(b)

(c)

(d)


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