Draw the graph of y=tan^(-1)|x|....

Draw the graph of `y=tan^(-1)|x|`.

Text Solution

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To draw the graph of `y=f(x)=tan^(-1)|x|`, we draw the graph of `y=tan^(-1)x" for "xge0` and reflect the graph in the y-axis.
The graph of `y=tan^(-1)x" for "xlt0` is neglected.
Hence, the graph of `y=f(x)` is as shown in the following figure.

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