Math Problem Statement
Determine the x-values where f(x) has a point of inflection and justify your answer. Also, identify the intervals where f(x) is decreasing.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Concavity
Points of Inflection
Formulas
f'(x) = 0 at critical points
f''(x) changes sign at points of inflection
Theorems
First Derivative Test
Second Derivative Test
Suitable Grade Level
Grades 11-12 (Calculus)
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