Question

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

Answer 1

0 an 4 are the answers ok

Answer 2

Answer:

0 and 4.

Step-by-step explanation:

By mathematical definition, an inflection points is where the second derivative is null, that is, $f''(x)=0$, when that happens, we can say there are inflections points.

So, the graph is showing the function of the second derivative of the original one. As we said, where the second derivative is null, there is an inflection points. You can observe in the image attached, that when $x=0$ and $x=4$, the function which represents the second derivative, is null, that means there are inflection points at those coordinates.

Therefore, the answer is 0 and 4.