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 15E
To determine

To sketch: The rough graph of the function y=112ex use transformations if needed.

Expert Solution

Explanation of Solution

The standard graph of the function y=ex is roughly sketched as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 15E , additional homework tip  1

Reflect the graph y=ex about the y-axis and obtain the graph of y=ex . Thus, the graph of y=ex is drawn and shown below in Figure 2.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 15E , additional homework tip  2

Then, to draw the graph of y=ex , reflect the graph y=ex about the x-axis. Thus, the graph of y=ex is shown below in Figure 3.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 15E , additional homework tip  3

Then, draw the graph of y=12ex , by shrunk the graph y=ex vertically by a factor of 0.5. Thus, the graph of y=12ex is shown below in Figure 4.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 15E , additional homework tip  4

Then, to obtain the graph of y=112ex , shift the graph y=12ex one unit upward. Thus, the graph of y=112ex is shown below in Figure 5.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.5, Problem 15E , additional homework tip  5

Thus, the required graph y=112ex is obtained from the basic graph y=ex by performing some transformations.

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