The function y = x by hand without plotting any points and then graph of the function y = | x − 1 | .

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter 1.3, Problem 23E
To determine

To sketch: The function y=x by hand without plotting any points and then graph of the function y=|x−1| .

Expert Solution

Explanation of Solution

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

Then, draw the graph of y=x1 by shifting the graph y=x by 1 unit downward. Thus, the graph of y=x1 is shown below in Figure 2.

From Figure 2, it is observed that Figure 1 is shifted 1 unit to the downward. Then, draw the graph of y=|x1| , by reflecting the portion of the graph y=x1 that appeared below the x-axis about the origin. Thus, the graph of y=x1 is shown below in Figure 3.

Observe that Figure 3is obtainedfrom Figure 1 in such a way that it is shifted1 unit downward and then reflected the curve that appear below the x-axis about the origin.

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