Question

The function graphed above is:

Concave up on the interval(s)


Concave down on the interval(s)


There is an inflection point at

Answer 1

The intervals are:

Concave up: (-2, ∞)

Concave down: (-∞, -2)

inflection point: (-2, 4)

How to identify the concavity?

The function is concave up when we have a "parabola-like" shape that opens up.

And concave down when it opens down.

An inflection point is a point where we have a change of concavity.

With this in mind we can see that the graph is:

Concave down in (-∞, -2)

Concave up in (-2, ∞)

And the inflection point is at x = -2, so the point is (-2, 4)