# Sketch the graph of the function using table of values H ( x ) = x 3 − 3 x 2

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 34RE
To determine

## Sketch the graph of the function using table of values H(x)=x3−3x2

Expert Solution

The graph of the given expression:

### Explanation of Solution

Given information: consider the function H(x)=x33x2

Calculation:

Take any values of x and then make a table of values.

xH(x)=x33x22(2)33(2)2=201(1)33(1)2=40(0)33(0)2=01(1)33(1)2=22(2)33(2)2=4

Then, plot the points given by the table and join them by a smooth curve to obtain the graph H(x)=x33x2 as shown below:

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