# The function y = sin x by hand without plotting any points and then graph of the function y = sin ( 1 2 x ) . ### 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 19E
To determine

## To sketch: The function y=sinx by hand without plotting any points and then graph of the function y=sin(12x) .

Expert Solution

### Explanation of Solution

The standard graph of the function y=sinx is roughly drawn as shown below in Figure 1. Then, draw the graph of y=sin(12x) , stretch the graph y=sinx horizontally by a factor of 2. Thus, the graph of y=sin(12x) is shown below in Figure 2. Observe that Figure 2is obtainedfrom Figure 1 in such a way that it is stretchedhorizontally by a factor of 2.

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