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Draw the graph of y=sin|x|....

Draw the graph of `y=sin|x|`.

Text Solution

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We have `y=f(x)=sin|x|`
`f(x)={{:(sinx ",",xge0),(-sinx",",xlt0):}`
We first draw the graph of `y=sinx,forxge0` and then reflect the graph in y-axis.
Hence the graph of `y=sin|x|` is as shown in the following figure.
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