Question

Use the graph of f "(x) below to state x-coordinates of the inflection points for the graph of f(x).

Answer 1

Hint:
we can apply these theorems:

1) A function \(f\) which is derivable twice, inside an iterval \([a,b]\), is a convex function if \(f''(x) \geqslant 0\), and vice versa

2) Given a function \(f\) which is derivable inside the interval \((a,b)\), then a point \(x_0 \in ]a,b[\) is an inflection point if it is a common endpoint of two intervals wherein it is a convex function inside one interval, and a concave function inside the other interval

Answer 2

now, from your graph, I see that the function is a convex function in both intervals:
\((- \infty, 2] \cup (2, + \infty)\)