# Question #f6298

##### 1 Answer

Range = all real #s except 0

#### Explanation:

**Range** is, in common tongue, defined as all possible outputs your function can have, given a set of inputs (your domain).

When asked what a function's range is, however, this question is not particularly useful: it's not efficient (or possible) to check every single input and see if it gives you a valid output. Therefore, a more useful question is **what outputs could you NOT have** for your given domain?

Given the particular function

We can test this by setting up an equation:

Multiply both sides by

This is clearly wrong. Hence, it is clear that there's no value of **all real numbers except 0.**

This is also particularly evident given the graph of

graph{2/x [-10, 10, -5, 5]}

Notice how

Hope that helped :)