Math Problem Statement

Find all the local maximum and minimum values of the function and write the intervals on which the function is increasing or decreasing.

Solution

Looking at the graph in the image,

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Math Problem Analysis

Mathematical Concepts

Calculus
Local Maxima and Minima
Intervals of Increase and Decrease

Formulas

First derivative test
Maxima and minima conditions

Theorems

First Derivative Test for Local Extrema
Increasing/Decreasing Test

Suitable Grade Level

High School - Calculus