The graph of $f ( x ) = \ln x ^ { 8 }$ has
A) neither a relative minimum nor a point of inflection at x = 0
B) a relative minimum that is not an inflection point at x = 0
C) a relative maximum that is not an inflection point at x = 0
D) an inflection point that is not a relative minimum at x = 0

Question

Quizplus · Accepted Answer

The function $f(x) = \ln(x^8)$ is undefined at $x = 0$, and its domain is $x > 0$. Therefore, it cannot have any feature (minimum, maximum, or inflection point) at $x = 0$.

The Graph Of f(x)=ln⁡x8f ( x ) = \ln x ^ { 8 }f(x)=lnx8

The Graph Of $f ( x ) = \ln x ^ { 8 }$