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 1.5, Problem 8E
To determine

To sketch: The graphs of the function y=ex,y=ex,y=8x and y=8x on the same axes and interpret how these graphs are related.

Expert Solution

Explanation of Solution

The rough graphs of the functions y=ex,y=ex,y=8x and y=8x are drawn and shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 8E

From Figure 1, it is observed that the graphs of the functions are passing through the common point (0, 1) as the value of e0 is always 1.

Also, notice that the functions y=ex and y=8x approaches as x tending to and approaches 0 as x tending to as they have the positive exponents. Therefore, the graphs are monotonically increasing.

Similarly, the functions y=ex and y=8x approaches 0 as x tending to and approaches as x tending to as they have the positive exponents. Therefore, the graphs are monotonically decreasing.

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