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 1.3, Problem 17E
To determine

To sketch: The function y=x by hand without plotting any points and then graph of the function y=2x .

Expert Solution

Explanation of Solution

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

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.3, Problem 17E , additional homework tip  1

Then, draw the graph of y=x by reflecting the graph y=x about x-axis as it is an odd function. Thus, the graph of y=x is shown below in Figure 2.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.3, Problem 17E , additional homework tip  2

From Figure 2, it is observed that Figure 1 is reflected about the origin.

To draw the graph of y=2x , shift the graph y=x by 2 units upward. Thus, the graph of y=2x is shown below in Figure 3.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.3, Problem 17E , additional homework tip  3

Observe that Figure 3is obtainedfrom Figure 1 in such a way that it is reflected about the x-axis and then shifted 2 units upward.

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