The function plotted looks like
[tex]f(x)=\log_4 x[/tex]
which is going to have many things in common with g(x).
Both graphs increase... CHECK
Same x intercept. Yes, log(1)=0 in every base. CHECK
No y intercept; log(0) is always undefined. CHECK
Neither has a vertical asymptote. No, the y axis, x=0, is the vertical asymptote for both functions. FALSE, no check
Both graphs have a horizontal asymptote. No, both functions are slowly growing but grow without bound. FALSE, no check
