Graphs of Functions

When you are done with this section, you will be able to do the following:

Find the domain and range of a function give the graph of the function
Determine if a graph is a function using the Veritcal Line Test
Determine if a function is even, odd, or neither given the graph of the function
State the intervals on which a graph is increasing, decreasing, and constant given the graph of the function
Identify six common functions

Domain and Range of Graphs of Functions On-line Note:

Additional Domain and Range of Graphs of Functions On-line Resources:

Vertical Line Test On-line Notes:

Additional Vertical Line Test On-line Resources:

Even and Odd Functions On-line Notes:

Additional Even and Odd Functions On-line Resources:

Increasing and Decreasing Functions On-line Notes:

Additional Increasing and Decreasing Functions On-line Resources:

6 Basic Functions On-line Notes:

Additional 6 Basic Functions On-line Resources:

Graphs of Functions Homework:

The Graphs of Functions Homework contains 5 problems.
Things to remember:

Domain intervals must be written using interval notation. The [ and ] indicate that the endpoint is included. The ( and ) indicate that the endpoint is not included.
All increasing and decreasing intervals use parentheses (i.e.: ( and )).
Infinity is written in WeBWorK with inf or infinity.
Even is the same as symmetric with respect to the y-axis. Odd is the same as symmetric with respect to the origin.

Homework examples:

Example 1: similar to problem 1
Example 2: similar to problem 2
Example 3: similar to problem 3
For problem 5, we currently have no way to find the maximum except using the graphing calculator maximum function.

For this particular topic, there are not additional also recommended homework problems.