Question

Answer the questions below about the following function

f(x) =log₄(x)
what is the domain of f(x)
what is the range of f(x)
what is the x-intercept of f(x)? enter your answer as an ordered pair. if no x-intercept exists, enter none
what it the equation of the vertical asymptote

Answer 1

Domain is all possible values of x in a graph. Range is all possible values of y in a graph.

There is an asymptote at 0. Therefore x spans from 0 - which is not included because a graph will never touch an asymptote - to positive infinity.

Therefore, domain in interval notation is;
(0, ∞)

Range spans the entire graph and runs from bottom to top.
Therefore the range is all real values, or
(-∞, ∞).