Intervals of concavity

Definition

Intervals of concavity refer to the sections on a graph where the function is either concave up or concave down. In other words, it determines whether the graph is shaped like a "U" (concave up) or an upside-down "U" (concave down).

Related terms

Inflection point: A point on the graph where there is a change in the direction of concavity.

Second derivative test: A method used to determine if a critical point is a local maximum or minimum by analyzing the sign of the second derivative.

Point of inflection: A point on the graph where there is a change in curvature from convex to concave or vice versa.