# Chapter 2 - Functions and Their Graphs - 2.3 Properties of Functions - 2.3 Assess Your Understanding - Page 78: 20

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#### Work Step by Step

A local maximum is a value of the function that is larger than or equal to all values in the surrounding area. Note that the value of the function at $x=5$ is actually the lowest in the area. Hence, the function has no local maximum at $5$..

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