# To graph : The function in a specified viewing rectangle.

### 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 2.2, Problem 29E

a.

To determine

## To graph : The function in a specified viewing rectangle.

Expert Solution

### Explanation of Solution

Given information :

f(x)=8xx2

The viewing rectangle is [5,5] by [5,5]

Graph :

 x 0 1 0.5 0.25 −1 −0.25 f(x) 0 7 3.75 1.9375 −9 −2.0625

This is the graph of given function represented in the viewing rectangle [5,5] by [5,5] .

Interpretation : The graph of the given function is represented in the viewing rectangle [5,5] by [5,5]

b.

To determine

Expert Solution

### Explanation of Solution

Given information :

f(x)=8xx2

The viewing rectangle is [10,10] by [10,10]

Graph :

 x 0 1 2 1.5 −1 0.5 f(x) 0 7 12 9.75 −9 −4.25

This is the graph of given function represented in the viewing rectangle of [10,10] by [10,10].

Interpretation : The graph of the given function is represented in the viewing rectangle [10,10] by [10,10]. This graph shows the more appropriate view of the function than the graph shown in the viewing rectangle [5,5] by [5,5] .

c.

To determine

Expert Solution

### Explanation of Solution

Given information :

f(x)=8xx2

The viewing rectangle is [2,10] by [5,20]

Graph :

 x 0 1 2 3 4 5 0.5 −0.25 f(x) 0 7 12 15 16 15 −4.25 −2.0625

This is the graph of given function represented in the viewing rectangle of [2,10] by [5,20].

Interpretation : The graph of the given function is represented in the viewing rectangle [2,10] by [5,20]. This graph shows the more appropriate view of the function than the graph shown in the viewing rectangle of [10,10] by [10,10] .

d.

To determine

Expert Solution

### Explanation of Solution

Given information :

f(x)=8xx2

The viewing rectangle is [10,10] by [100,100] .

Graph :

 x 0 1 2 3 4 5 −1 −2 −5 f(x) 0 7 12 15 16 15 −9 −20 −65

This is the graph of given function represented in the viewing rectangle of [10,10] by [100,100] .

Interpretation : The graph of the given function is represented in the viewing [10,10] by [100,100] .. This graph shows the less appropriate view of the function than the graph shown in the viewing rectangle of [10,10] by [10,10] . The most appropriate view of the graph is shown in the viewing rectangle of [2,10] by [5,20].

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