# What is the range of the function x=y^6 ?

##### 1 Answer
Feb 11, 2018

The range is $\left(- \infty , \infty\right)$ or all real numbers.

#### Explanation:

To determine the range, we have to see if there are any $y$ value restrictions, or anything that $y$ cannot be.

$y$ can be anything here.
If $y = - 10000000$, the $x$-value would just be really really small.
If $y = - 1$, $x = 1$.
If $y = 1$, $x = 1$.
If $y = 1000000000000$, then the $x$-value would just be really really big.

Therefore, the $y$-values or range can be all real numbers or $\left(- \infty , \infty\right)$

Here's a graph to demonstrate how this works.