# What is the range of a function?

##### 1 Answer

Jul 23, 2014

The range of a function is the set of all possible outputs of that function.

For example, let's look at the function

Since we can plug in any x value and multiple it by 2, and since any number can be divided by 2, the output of the function, the

Therefore, the range of this function is "all real numbers"

Let's look at something slightly more complicated, a quadratic in vertex form: