Maximum point - GCSE Maths Definition

Reviewed by: Dan Finlay

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A maximum point on a graph is the highest point in a specific area, where a curve reaches its peak before starting to go down again.

In mathematical terms, it is where the function changes from increasing to decreasing, indicating the highest value in that section of the graph. On a graph, it looks like the top of a hill. If you are dealing with a quadratic curve shaped like an "n" (an upside-down "U"), the top of the "n" is the maximum point.

Identifying maximum points can help you understand the behaviour of the graph and solve optimisation problems.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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