Loading in 5 sec....

Section 1.5 More on Functions and Their GraphsPowerPoint Presentation

Section 1.5 More on Functions and Their Graphs

- 77 Views
- Uploaded on
- Presentation posted in: General

Section 1.5 More on Functions and Their Graphs

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

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)