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 2.5, Problem 64E

a.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  1

Graph :

the graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  2

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x+1) is obtained by shifting the graph of y=g(x) to the left1 unit.

b.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  3

Graph :

The graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  4

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x) is obtained by symmetric the graph of y=g(x) about the y -axis.

c.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  5

Graph :

The graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  6

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x2) is obtained by shifting the graph of y=g(x) to the right 2 units.

d.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  7

Graph :

The graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  8

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x)2 is obtained by shifting the graph of y=g(x) downwards 2 units.

f.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  9

Graph :

The graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  10

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x) is obtained by reflecting the graph of y=g(x) in the x -axis .

e.

To determine

To sketch the graph of the function.

Expert Solution

Explanation of Solution

Given information:

The function is y=g(x)

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  11

Graph :

The graph obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.5, Problem 64E , additional homework tip  12

Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=2g(x) is obtained by vertically stretching the graph of y=g(x) by the factor of 2.

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!