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.
In simpler terms, if you were to draw a straight line between any two points on the graph, the curve would always lie below this line. This property is similar to the shape of a valley or a bowl turned upside down, where the curve always arches downwards.
An example of a concave function is y = -x2, showing a typical downward opening parabola.
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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