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.

Question

GPT-4o mini · Answer

The statement that accurately analyzes a key feature of a logarithmic parent function is: The logarithmic parent function has a limited domain.

The domain of the logarithmic parent function \( y = \log(x) \) is all positive real numbers \( (0, \infty) \), which indeed means it has a limited domain. The other statements are incorrect as follows:

The logarithmic function generally has only one x-intercept at \( (1, 0) \).
The logarithmic function is not an even function; it is neither even nor odd.
The logarithmic function has only one y-intercept at \( (1, 0) \) when considering its graphs in standard settings.

Thus, the limited domain is the key feature.