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

1 Answer
Shantelle
Feb 11, 2018

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.

enter image source here

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