consider the following graph. step 1 of 2: determine the intervals on which the function is concave upward…

Explanation:

Step1: Recall concavity definition

A function is concave - upward when the second - derivative is positive and concave - downward when the second - derivative is negative. Visually, a function is concave upward if it "holds water" and concave downward if it "spills water".

Step2: Analyze the graph

Looking at the graph, we can see that the function is concave upward on the intervals $(-\infty,- 5)$ and $(0,5)$. The function is concave downward on the intervals $(-5,0)$ and $(5,\infty)$.

Answer:

Concave upward: $(-\infty,-5)\cup(0,5)$; Concave downward: $(-5,0)\cup(5,\infty)$