# What is the maximum number of relative extrema contained in the graph of this function y=3x^3-x^2.

## Question:

What is the maximum number of relative extrema contained in the graph of this function {eq}y=3x^3-x^2 {/eq}.

## Relative Extreme:

The relative extremes (Maximum and Minimum) of a function are critical points at which the function reaches its maximum or minimum increase or decrease.

## Answer and Explanation:

We have the function:

{eq}y=3x^3-x^2 \\ {/eq}

Graph the function

Relative maximum at: {eq}(0,0) \\ {/eq}

Relative minimum at: {eq}(\frac{2}{9}, -\frac{4}{243}) \\ {/eq}

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from CAHSEE Math Exam: Tutoring Solution

Chapter 10 / Lesson 12
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