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 16E

a.

To determine

To describe how the graph of the function can be obtained from the graph of f(x)=x3 .

Expert Solution

Answer to Problem 16E

The graph of g(x)=(x4)3 is obtained by shifting the graph of f(x)=x3 to the right 4 units.

Explanation of Solution

Given information :

The function is g(x)=(x4)3  .

Use the definition of horizontal shifts of graph,

When graph of f(x)=x3 is given, then for function g(x)=(x4)3 , shift the graph of f(x)=x3 to the right 4 units.

b.

To determine

To describe how the graph of the function can be obtained from the graph of f(x)=x3 .

Expert Solution

Answer to Problem 16E

The graph of g(x)=x34 is obtained by shifting the graph of f(x)=x3 to the downwards 4 units.

Explanation of Solution

Given information :

The function is g(x)=x34 .

Use the definition of vertical shifts of graph,

When graph of f(x)=x3 is given, then for function g(x)=x34 , shift the graph of f(x)=x3 to the downwards 4 units.

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!