Domain and Range

The Domain of a function f is the set of values of x for which f is defined. The Range of a function f is the set of all values of f(x), where x is in the domain of f.

There are 2 ways to find Domain and Range for the problem:

Suppose the function is defined for x>2

Example #1

Use Algebra

The domain is x>2. You can obtain the range from the domain.

X > 2

Transform the inequality so that the left side becomes

x > (2)

x –2 > 3-2

f(x) >1 ß this is the range of f

Example #2:

Look at a graph.

What you do is you type the equation into graphing software or graph it by hand.

This is the graph:

The Domain is X>0

The Range is Y>-3

State the Domain and range of

Choose one:

1. X>4 Y<-4

2. X>-4 Y<-1

3. X<-4 Y>-1

4. X<-1 Y<-4

Here is the graph:

Answer key on the bottom of the web page.

Links

http://mathforum.org/

http://www.algebra-online.com/

http://www.algebrahelp.com/

http://www.algebra.com/

http://www.learn.co.uk/default.asp?WCI=Unit&WCU=7958

http://www.purplemath.com/modules/fcns.htm

http://cne.gmu.edu/modules/dau/calculus/domains_ranges/dom2_frm.html

Did you choose B for the Now you try part of the web page?

If you did, then you are correct!

This page was created by Amanda Frankenberger. I go to Fayetteville High school and I am a senior.

If you have an questions or comments E-Mail me at Manda0629@aol.com