# 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 31E

a.

To determine

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

Expert Solution

### Explanation of Solution

Given information :

h(x)=x35x4

The viewing rectangle is [2,2] by [2,2]

Graph :

 x 0 1 2 −1 −2 h(x) −4 −8 −6 0 −2

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

Interpretation : The graph of given function represented in the viewing rectangle [2,2] by [2,2]

b.

To determine

Expert Solution

### Explanation of Solution

Given information :

h(x)=x35x4

The viewing rectangle is [3,3] by [10,10]

Graph :

 x 0 1 2 3 −1 −2 −3 h(x) −4 −8 −6 8 0 −2 −16

This is the graph of given function represented in the viewing rectangle of [3,3] by [10,10] .

Interpretation : The graph of the given function is represented in the viewing rectangle [3,3] by [10,10]. This graph shows the more appropriate view of the function than the graph shown in the viewing rectangle [2,2] by [2,2] .

c.

To determine

Expert Solution

### Explanation of Solution

Given information :

h(x)=x35x4

The viewing rectangle is [3,3] by [10,5]

Graph :

 x 0 1 2 3 −1 −2 −3 h(x) −4 −8 −6 8 0 −2 −16

This is the graph of given function represented in the viewing rectangle of [3,3] by [10,5] .

Interpretation : The graph of the given function is represented in the viewing rectangle [3,3] by [10,5].

d.

To determine

Expert Solution

### Explanation of Solution

Given information :

h(x)=x35x4

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

Graph :

 x 0 1 2 3 4 −1 −2 −3 h(x) −4 −8 −6 8 40 0 −2 −16

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 [10,10] by [10,10] . The graphs of the given function shown in viewing rectangle [3,3] by [10,10] , [3,3] by [10,5] and [10,10] by [10,10] are represented appropriately. But, among them, the graph showed in rectangle [10,10] by [10,10] show the most complete view of the function.

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