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 10E
To determine

To sketch: The graphs of the function y=0.9x,y=0.6x,y=0.3x and y=0.1x on the same axes and interpret how these graphs are related.

Expert Solution

Explanation of Solution

The rough graphs of the functions y=0.9x,y=0.6x,y=0.3x and y=0.1x are drawn and shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 10E

From Figure 1, it is observed that the graphs of the exponential functions whose base is greater than 0 but lesser than 1 are passing through the common point (0, 1) as any number raised to the power 0 is always 1.

Also, notice that the graphs approaches 0 as x tending to and approaches as x tending to . Therefore, the graphs are monotonically increasing.

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