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 35E

a.

To determine

To find the local maximum and local minimum of the function

Expert Solution

Explanation of Solution

Given information : the function is f(x)=x3x .

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 x3x which is required to graph.

Step 4: Press GRAPH button to graph the function.

Step 5: Using TRACE feature on the calculator

The graph is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 35E , additional homework tip  1

From the above graph, it can be observed that the local maximum 0.38 when x0.58 and the local minimum 0.38 when x0.58

b.

To determine

To find the interval on which the function is increasing and on which the function is decreasing up to twodecimal

Expert Solution

Answer to Problem 35E

The function f is decreasing on (0.58,0.58) and increasing on (,0.58)(0.58,) .

Explanation of Solution

Given information :

The function is f(x)=x3x .

The graph of the function is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 35E , additional homework tip  2

Using TRACE feature on the calculator,

From the above graph, it can be observed that the function f is decreasing on (0.58,0.58) and increasing on (,0.58)(0.58,) .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!