BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.3, Problem 25E

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)=2x33x212x .

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 2x33x212x 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:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 25E , additional homework tip  1

Interpretation :

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

b.

To determine

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

Expert Solution

Answer to Problem 25E

The function f is decreasing on [1,2] and increasing on (,1] and [2,) .

Explanation of Solution

Given information :

The function is f(x)=2x33x212x .

The graph of the function is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 25E , additional homework tip  2

Using TRACE feature on the calculator, the lowest value is f(2)=20 and highest value f(1)=7 .

From the above graph, it can be observed that the function f is decreasing on [1,2] and increasing on (,1] and [2,) .

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