BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 30RE
To determine

To find: The graph for the given equations on the same screen for the two or three values of a>1 . Also, find the function that has the largest values and smallest value for the for x .

Expert Solution

Answer to Problem 30RE

The graph for the given functions is shown in Figure 1, Figure 2 and Figure 3 and the largest value is of the function y=ax and the function has the smallest value for large value of x .

Explanation of Solution

Given:

The given function are,

  y=axy=xay=logax

Calculation:

Consider the given functions,

  y=axy=xay=logax

Consider the case when a=2 .

The graph for all the function is shown in Figure 1

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 30RE , additional homework tip  1

Figure 1

Consider the case when a=6 .

The graph for all the function is shown in Figure 2

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 30RE , additional homework tip  2

Figure 2

Consider the case when a=10 .

The graph for all the function is shown in Figure 3

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 30RE , additional homework tip  3

Figure 3

From the graph in Figure 1, 2, and 3 it is observed that the function y=ax has the largest values and y=logax has the smallest value for the larger values of x .

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