Inflection Point

Definition

An inflection point is an x-value on the graph where there may be changes in concavity (from concave up to concave down or vice versa). At an inflection point, there isn't necessarily a change in the slope of the graph.

Related terms

Concave Up:

Concave up refers to the shape of a graph where it curves upward, resembling a smiley face.

Concave Down:

Concave down refers to the shape of a graph where it curves downward, resembling a frowning face.

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.