To graph: The following function with the help of the transformation: y = | sin 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 C, Problem 40E
To determine

To graph: The following function with the help of the transformation:   y=|sinx|

Expert Solution

Explanation of Solution

Given information:

y=|sinx|

Graph:

Graph 1: y=sinx

Graph 2: y=|sinx|

Interpretation:

Need to draw a first graph of the function y=cosx as shown by the graph 1. Except positive output, need to recall all possible values of function or sine to take same domain as original.

For example:

One cycle of sine where x in interval [02π] , in this case the function is already positive. For the remainder of cycle y should be negative. So, here graph changes from original.

The same shape is observed for the second half of the graph, except its flipped shape across x axis which results that y values are positive.

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