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 2.2, Problem 74E

(a)

To determine

To graph:For the given member of family in viewing rectangle indicated.

Expert Solution

Explanation of Solution

Given information:

The given function is f(x)=1xn .

The value of n is n=1,3;[3,3]by[3,3] .

Graph:

The graph for the given family of equations is shown in figure (1).

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 74E , additional homework tip  1

Figure (1)

Interpretation: Graph for the family of equations of the function f(x)=1xn is shown in figure (1).

(b)

To determine

To graph: For the given member of family in viewing rectangle indicated.

Expert Solution

Explanation of Solution

Given information:

The given function is f(x)=1xn .

The value of n is n=2,4;[3,3]by[3,3] .

Graph:

The graph for the given family of equations is shown in figure (2).

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 74E , additional homework tip  2

Figure (2)

Interpretation: Graph for the family of equations of the function f(x)=1xn is shown in figure (2).

(c)

To determine

The conclusions from the graphs and effects on the value of n .

Expert Solution

Answer to Problem 74E

The graph of y=1xn for even n and odd n are similar to each other.

Explanation of Solution

Given information:

The given function is f(x)=1xn .

Calculation:

From the graphs in part (a) and (b), we can observed that the graph of y=1xn for even n are similar to each other.

The graph of y=1xn for odd n are similar to each other.

As n increases

The graph of y=1xn approaches zero faster for larger x .

As n increases and x approaches to zero,

The graph of y=1xn go to the infinity faster.

Therefore, the graph of y=1xn for even n and odd n are similar to each other.

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