Let $f$ be a polynomial function with values $f'(x)$ at selected values of $x$ given in the table above. Which of the following must be true for $-3 \lt x \lt 4$ ?

You may be tempted to say that the graph of $f$ is increasing and has no critical points, but reflect that it is possible that there are points not shown in the table that are negative.

The graph of $f$ would be concave up if values in the table were strictly increasing, but the values decrease, increase, and decrease.

Since $f'(x)$ changes from decreasing to increasing somewhere from $-3\lt x\lt 0$ and changes from increasing to decreasing somewhere from $-1\lt x\lt 2$, the graph of $f$ must have two inflection points minimum.