Thread: Need Help finding range of function with absolute value in denominator

I am completely stuck on this question, thanks for all help.

I am supposed to find the domain and range of the function:



I have solved the domain as

It's been quite a few years since I've worked with domain and ranges, then again one with an absolute value in the denominator.

I know that from it's a horizontal line at y=-1 and that from it's a horizontal line at y=1. How do I write the range for this?

Originally Posted by jester469

I am completely stuck on this question, thanks for all help.

I am supposed to find the domain and range of the function:



I have solved the domain as

It's been quite a few years since I've worked with domain and ranges, then again one with an absolute value in the denominator.

I know that from it's a horizontal line at y=-1 and that from it's a horizontal line at y=1. How do I write the range for this?

You just wrote it.

Originally Posted by dwsmith

You just wrote it.

The range is the y values.

Thank you, but how do I write the answer properly? Is it written the same as like a piecewise function?

Originally Posted by jester469

Thank you, but how do I write the answer properly? Is it written the same as like a piecewise function?

Yes, that is fine.

It's fine how you wrote it. If you wanted to write it in compact form you use set notation,

Even more compactly, {1, -1}!

lol trust you guys to make a sport of compactness

Originally Posted by Krahl

lol trust you guys to make a sport of compactness

... it's a living.