1. ## Domain vs Range

What is the basic difference between domain and range? I sometimes struggle trying to determine the range of functions. Other than graphing, is there an "easy" way to find the range of functions?

2. ## Re: Domain vs Range

Domain relates to the x-values
Range relates to the y-values
domains are usually determined by considering the equations and range from examining the graphs.

3. ## Re: Domain vs Range

Typically, one has a function written as y= f(x). To determine the domain, look for values of x for which f cannot be evaluated (divide by 0, take the square root of a negative number, etc.). To determine the range, try to solve the equation y= (x) for x, reversing the roles of x and y, so reversing domain and range.

4. ## Re: Domain vs Range

Originally Posted by HallsofIvy
Typically, one has a function written as y= f(x). To determine the domain, look for values of x for which f cannot be evaluated (divide by 0, take the square root of a negative number, etc.). To determine the range, try to solve the equation y= (x) for x, reversing the roles of x and y, so reversing domain and range.
Can you provide an example for finding the range algebraically?

5. ## Re: Domain vs Range

Originally Posted by jacs
Domain relates to the x-values
Range relates to the y-values
domains are usually determined by considering the equations and range from examining the graphs.
How do you find the range without using the graph of a function?