Concave Down

Definition

Concave down refers to the shape of a graph that curves downward, resembling a frown. It indicates that the graph is curving downwards as you move from left to right.

Related terms

Inflection Point: A point on the graph where the concavity changes. It can be thought of as a point where the skateboarder changes direction on the ramp.

Second Derivative Test: A method used to determine whether a critical point corresponds to a local maximum or minimum by analyzing concavity.

Rate of Change: The speed at which one quantity changes with respect to another. In terms of concave down graphs, it represents how quickly the graph is decreasing.