Question

How many y intercepts does the parent logarithmic function have

Answer 1

The parent logarithmic function is typically given by \( f(x) = \log_b(x) \), where \( b \) is the base of the logarithm and \( b > 0 \).

A logarithmic function does not have a y-intercept because the function is only defined for positive values of \( x \) (i.e., \( x > 0 \)). Therefore, the graph of a logarithmic function approaches the y-axis but never touches or crosses it. As a result, the parent logarithmic function has **zero y-intercepts**.