Concave Up

Definition

Concave up refers to the shape of a graph where it curves upward, resembling a smiley face. It indicates that the second derivative of a function is positive.

Related terms

Inflection Point:

An inflection point is a point on the graph where the concavity changes from concave up to concave down or vice versa.

Increasing Function:

An increasing function is one in which the y-values increase as x-values increase.

Second Derivative Test:

The second derivative test is used to determine whether a critical point on a graph corresponds to a local maximum or minimum by examining the sign of the second derivative.