Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>
- The critical points of a function are the <u>values of x</u> for which:

- Additionally, there has to be a change in the sign of

Researching the problem on the internet, it is found that:
- For 0 < x < 5,
.
- For x = 5,
is undefined.
- For 5 < x < 8,
.
- For x = 8,
.
- For 8 < x < 12,
.
- For x = 12,
.
- For 12 < x < 16,
.
The two conditions,
and a change in the signal of
are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137
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