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

1 Answer
Feb 11, 2018

Answer:

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