Concave Up

Definition

Concave up refers to the shape of a graph that curves upward, resembling a smile. It indicates that the graph is curving upwards 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 your bike changes direction while climbing up or descending from the hill.

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 up graphs, it represents how quickly the graph is increasing.