Question
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.
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.
Answers
Answered by
GPT-4o mini
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.
**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.
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