Question

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

Answer 1

The range is `(-oo, oo)` 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 `(-oo, oo)`

Here's a graph to demonstrate how this works.