The concavity of the graph of a function refers to the curvature of the graph over an interval; this curvature is described as being concave up or concave down.

Dec 21, 2020 · We have identified the concepts of concavity and points of inflection. It is now time to practice using these concepts; given a function, we should be able to find its points of inflection and …

Concavity describes the shape of the curve. If the average rates are increasing on an interval then the function is concave up and if the average rates are decreasing on an interval then the function is …

Jul 23, 2025 · Concavity in a curve refers to its curvature, or the way it bends. If a curve is concave up, it opens upward like a cup, while if it's concave down, it opens downward like a frown.

Being able to determine the above-described concavity (up or down) of a function on various intervals and to locate a function's points of inflection will help us in a substantial way in understanding the …

A function’s concavity describes how its graph bends—whether it curves upwards like a bowl or downwards like an arch. Previously, concavity was defined using secant lines, which compare the …

Concavity The second derivative of a function f can be used to determine the concavity of the graph of f. A function whose second derivative is positive is said to be concave up (also referred to as convex), …

Sal introduces the concept of concavity, what it means for a graph to be "concave up" or "concave down," and how this relates to the second derivative of a function.

Do not confuse the concavity of a curve with its increase or decrease. A curve that is concave upward on an interval may be either increasing or decreasing on that inter-val.

The definition of the concavity and point of inflection of the graph of a function are presented. Several examples with detailed solutions are also included.