What is Convexity of Graphs?

Convexity of graphs refers to a property where the curve represented by the graph bulges upwards or lies above the line segment connecting any two points on the graph.

In simpler terms, if you were to draw a straight line between any two points on the graph, the curve would always lie above this line. This property is similar to the shape of a bowl or a hill, where the curve always arches upwards.

A common example is the parabola y = x2, which is convex on its entire domain.

Real Life Application of convexity and concavity of Graphs

Convexity and concavity are terms used to describe the shapes of graphs. A convex graph curves upward, while a concave graph curves downward. These shapes play important roles in various real-life situations. They are used in fields like economics and engineering. They help experts make informed decisions and predictions.

This article discusses the real-life uses of convexity and concavity of graphs.

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What is Convexity of Graphs?

Convexity of graphs refers to a property where the curve represented by the graph bulges upwards or lies above the line segment connecting any two points on the graph....

What is Concavity of Graphs?

Concavity of graphs refers to a property where the curve represented by the graph curves downwards or lies below the line segment connecting any two points on the graph....

Real-life Application of Convexity and Concavity of Graphs

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