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: [tex]y=\log_8x[/tex]
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.
