Convex and Concave Curves revision and practice questions. MME gives you access to maths practice questions, worksheets and videos.

Jul 3, 2025 · A convex function curves upwards, meaning that a straight line between any two points on the graph will lie above or on the graph. A concave function curves downwards, meaning that the line …

Mar 17, 2026 · Convexity and concavity describe how a function bends across its domain, indicating whether its graph curves upward or downward.

If at any point on a curve, the second derivative is negative, we say that the curve is concave at that point. Conversely, if the second derivative is positive at any point, we say that the curve is convex at …

Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions.

A function can be concave or convex throughout its entire domain, or only over certain portions of it. In fact, it is quite common for a function to exhibit concavity in some intervals and convexity in others.

Sep 9, 2023 · Concave and convex describe the shape of a curve. Remember that “concave” resembles a cave! The terms “concave” and “convex” describe the curvature of objects or mathematical …

However, this relation is not a straight line but is a convex curve. Convexity measures the curvature in this relationship, i.e., how the duration changes with a change in yield of the bond.

Sep 5, 2021 · We discuss in this section a class of functions that plays an important role in optimization problems. Figure 4.6: A Convex Function. Let I be an interval of R and let f: I → R. We say that f is …

Convexity And Concavity Of Graphs in Applications of Derivatives with concepts, examples and solutions. FREE Cuemath material for JEE,CBSE, ICSE for excellent results!