Math Problem Statement

The function graphed above is decreasing on the interval

 < x < 

The inflection point is at x = 

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Polynomial Functions
Derivatives
Concavity

Formulas

First derivative to find increasing and decreasing intervals
Second derivative to find inflection points

Theorems

First Derivative Test
Second Derivative Test

Suitable Grade Level

Grades 11-12