Math Problem Statement

Use a graphing utility to graph

f left parenthesis x right parenthesis equals x cubed minus 3 x plus 4f(x)=x3−3x+4

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
Graphing
Derivative
Critical Points
Increasing and Decreasing Functions

Formulas

f(x) = x^3 - 3x + 4
First Derivative: f'(x) = 3x^2 - 3

Theorems

First Derivative Test

Suitable Grade Level

Grades 11-12