Question

What is the range of y=log8^x

a) all real numbers less than 0
b) all real numbers greater than 0
C)all real numbers not equal to 0
d) all real numbers

Answer 1

Option d) all real numbers

Explanation:

we have

`y=\log8^x`

using a graphing tool

The graph of the equation is a line that represent a direct variation ( the line passes through the origin)

therefore

The domain is all real numbers ---->interval (-∞,∞)

The range is all real numbers ---->interval (-∞,∞)

see the attached figure to better understand the problem