The graph of a logarithmic function has a vertical asymptote at x = 0.

Question

False

True

Answer 1

True.

The graph of a logarithmic function, such as \( f(x) = \log(x) \), has a vertical asymptote at \( x = 0 \). As \( x \) approaches 0 from the right (i.e., \( x \) approaches 0 positively), the value of \( f(x) \) approaches negative infinity. Therefore, there is a vertical asymptote at \( x = 0 \).