# To match : the polynomial function

### 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 3.2, Problem 13E
To determine

## To match: the polynomial function

Expert Solution

### Explanation of Solution

Given information:

The polynomial function is T(x)=x4+2x3

The power of the equation is even and the leading co-efficient positiveso, predict the end behaviour, which is when x approaches positive , y will approach positive and as x approaches negative , y will approach positive .so, graph IIand VI contain this characteristic. Now substitute x with any value

14+2(1)3                      [substitute the value of x=1]1+2                                      [evaluate power]1+2                                     [divide]3                                          [subtract]

Therefore ,the coordinate point (1, 3 ),the graph VIcontain this closest

Hence, the correct answer is VI.

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