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 19E

a.

To determine

To find: where f is increasing.

Expert Solution

Answer to Problem 19E

f is increasing on the interval [-1, 2] and [2,3] .

Explanation of Solution

Given information: the graph provided in the question,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 19E , additional homework tip  1

Graph:

From the provided information, consider,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 19E , additional homework tip  2

Interpretation:

As f increases the height if the function f ( x ) also increases, thus, y-values of the points on the graph increase as the x-values increase. In the graph provided, f is increasing on the intervals [2,3] and [-1,2].

Hence, f is increasing on the interval [-1, 2] and [2,3] .

b.

To determine

To find: where f is decreasing.

Expert Solution

Answer to Problem 19E

f is increasing on the interval [2, -1].

Explanation of Solution

Given information: the graph provided in the question,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 19E , additional homework tip  3

Graph:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 19E , additional homework tip  4

Interpretation:

From the provided information, consider,

As f decreases, the height of the function f ( x ) also decreases, thus, y-values of the points on the graph decrease as the x-values decrease. In the graph provided, f is increasing on the interval [3,-1].

Hence, f is decreasing on the interval [3, -1].

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!