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Graphy=|sinx|,-2π≤x≤2π

Short Answer

Expert verified

The required graph of the given function

Step by step solution

01

Step 1.Given information

The given functiony=|sinx|,-2π≤x≤2π

02

Step 2.Finding (x,y)values.

According to the periodic property of the sine function, sin(x+2Ï€)=sinx. Therefore sine function has a period of 2Ï€. Substitute some values for xto get the corresponding values for y. This is summarized in the table.

xy=|sinx|(x,y)
00(0,0)
Ï€21Ï€2,1
3Ï€213Ï€2,1
Ï€0Ï€,0
2Ï€02Ï€,0
-Ï€21-Ï€2,1
-3Ï€21-3Ï€2,1
-Ï€0-Ï€,0
-2Ï€0-2Ï€,0
03

Step 3.Graph of the given function

Plot the graph by using the table values

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