The graph of f(x) is concave up on x intervals (-6, -2) and (2, 5)
The graph of f(x) is concave down x intervals (-2, 2) and (5, 8).
How to interpret the concavity of the graph?
A function is said to be concave up if it “opens” up and the function is concave down if it “opens” down.
From the given graph, we can see that the graph opens up on the x intervals (-6, -2) and (2, 5). Thus:
The graph of f(x) is concave up on x intervals (-6, -2) and (2, 5)
From the given graph, we can see that the graph opens down on the x intervals (-2, 2) and (5, 8). Thus:
The graph of f(x) is concave down x intervals (-2, 2) and (5, 8).