Question

Which statement accurately analyzes a key feature of a logarithmic parent function?(1 point)
Responses

The logarithmic parent function has a limited domain.
The logarithmic parent function has a limited domain.

The logarithmic parent function can have multiple x-intercepts.
The logarithmic parent function can have multiple x -intercepts.

The logarithmic parent function is an even function.
The logarithmic parent function is an even function.

The logarithmic parent function has only one y-intercept.

1 answer

The statement that accurately analyzes a key feature of a logarithmic parent function is:

The logarithmic parent function has only one y-intercept.

A logarithmic function (such as \( f(x) = \log_b(x) \)) is defined for positive values of \( x \) (giving it a limited domain of \( x > 0 \)), is not an even function, and cannot have multiple x-intercepts. Therefore, the correct feature focusing on the y-intercept is the best choice.