Both the square root and logarithmic functions have a domain limited to x -values greater than 0 . However, the logarithmic function has a vertical asymptote descending towards −∞ as x approaches 0 , whereas the square root reaches a minimum y -value of 0 .

What is the horizontal asymptote of a logarithmic function?

There are three types of asymptotes, namely; vertical, horizontal, and oblique. The vertical asymptote is the value of x where function grows without bound nearby. Horizontal asymptotes are constant values that f(x) approaches as x grows without bound.

Do logarithmic functions have a vertical or horizontal asymptote?

Recall that an exponential function has a horizontal asymptote. Because the logarithm is its inverse, it will have a vertical asymptote. ... We know the graph is going to have the general shape of the first function above.