Question

the figure below is the graph of a second derivative $f$. what are the x - values that are inflection points of $f$? enter your answers in increasing order.

Explanation:

Step1: Recall inflection - point definition

Inflection points of $f(x)$ occur where $f''(x)$ changes sign.

Step2: Identify sign - change points on graph

From the graph of $f''(x)$, $f''(x)$ changes sign at $x=-1$ and $x = 2$.

Answer:

$x=-1$
$x = 2$