Math Problem Statement

Analyze and sketch the graph of the function f(x) = 6x^(2/3) - 4x. Find intercepts, relative extrema, points of inflection, and asymptotes. Enter answers in order from smallest to largest x, then smallest to largest y.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Graphing Functions
Extrema
Inflection Points
Asymptotes

Formulas

First Derivative Test
Second Derivative Test

Theorems

Extreme Value Theorem
Inflection Point Theorem

Suitable Grade Level

College Calculus

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