Question

What is the range of the equation ?

Answer 1

Option D:

all real numbers

Solution:

Definition of domain:

The domain of the function is the set of all possible

x-values (independent variable).

Definition of range:

The range of a function is the set of all possible resulting values

of y-values (dependent variable).

i.e The range of a function is the resulting y-values we get after substituting all the possible x-values.

Given function: $y=\log_8x$

Domain of y: (0, ∞) (or) {x | x > 0}

Range of y: (–∞, ∞) (or) {y | y > R}

i.e all real numbers

Option D is the correct answer.

Hence the range of y is all real numbers.