Math Problem Statement

Use a graphing utility to graph f left parenthesis x right parenthesis equals x cubed minus 3 x plus 2f(x)=x3−3x+2 on the interval left bracket negative 2 comma 2 right bracket[−2,2] and approximate any local maximum values and local minimum values. Determine where the function is increasing and where it is decreasing.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Critical Points
Intervals of Increase and Decrease

Formulas

Derivative f'(x) = 3x^2 - 3
Critical points: f'(x) = 0
Function evaluation f(x)

Theorems

First Derivative Test

Suitable Grade Level

Grades 11-12