# The graph of the function P ( x ) = x 4 − 16 by transforming the graph of an appropriate function of the form y = x n and show all x and y intercepts on graph.

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 3.2, Problem 6E

(a)

To determine

## To sketch: The graph of the function P(x)=x4−16 by transforming the graph of an appropriate function of the form y=xn and show all x and y intercepts on graph.

Expert Solution

### Explanation of Solution

Given information:

The given functions is P(x)=x416 .

Graph:

Interpretation:

The graph of P(x)=x416 is the graph of y=x4 shifted downward 16 units.

(b)

To determine

Expert Solution

### Explanation of Solution

Given information:

The given functions is Q(x)=(x+2)4 .

Graph:

The graph of the functions Q(x)=(x+2)4 is as follows.

Figure (2)

Interpretation:

The graph of Q(x)=(x+2)4 is the graph of y=x4 shifted to the left 2 units.

(c)

To determine

Expert Solution

### Explanation of Solution

Given information:

The given functions is R(x)=(x+2)416 .

Graph:

The graph of the functions R(x)=(x+2)416 is as follows.

Interpretation:

The graph of R(x)=(x+2)416 is the graph of y=x4 shifted to the left 2 units and then shifted downward 16 units.

(d)

To determine

Expert Solution

### Explanation of Solution

Given information:

The given functions is S(x)=2(x+2)4 .

Graph:

The graph of the functions S(x)=2(x+2)4 is as follows.

Interpretation:

The graph of S(x)=2(x+2)4 is the graph of y=x4 shifted to the left 2 in downward direction.

### 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!