# To graph the function using graphing device.

### 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 2.3, Problem 28E

a.

To determine

## To graph the function using graphing device.

Expert Solution

### Explanation of Solution

Given information : Use graphing device to graph the function f(x)=x44x3+2x2+4x3 .

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression x44x3+2x2+4x3 which is required to graph.

Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.

The graph is obtained as:

Interpretation :

From the above graph, it can be observed that the domain of f is and the range is [4,) .

b.

To determine

### To state approximately the interval on which the function is increasing and on which the function is decreasing.

Expert Solution

The function f is decreasing on (,0.41] and [1,2.41] and increasing on [0.41,1] and [2.41,) .

### Explanation of Solution

Given information :

The function is f(x)=x44x3+2x2+4x3 .

The graph of the function is obtained as:

From the above graph, it can be observed that the function f is decreasing on (,0.41] and [1,2.41] and increasing on [0.41,1] and [2.41,) .

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