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Draw the graph of f(x) = x|x|....

Draw the graph of `f(x) = x|x|`.

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`y =f (x) = x|x|= {{:(x*x= x^(2)",",, x ge 0 ), (x*(-x)= -x^(2)",",, x lt 0):}`
Thus, for `x ge 0`, we have, parabola `y=x ^(2)`, which is concave upward, and for `x lt 0`, we have the parabola `y= -x^(2)`, which is concave downward.
Hence the graph of the function is as shown in the following figure.
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CENGAGE PUBLICATION-GRAPHS OF ELEMENTARY FUNCTIONS -EXERCISES
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  8. Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of ...

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  11. Draw the graph of y= x ^((1)/(log(e)x)).

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  12. Find the number of solutions to the equation x+log(e)x=0.

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  13. draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

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  14. Given f(x) is a periodic function with period 2 and it is defined as ...

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  18. Draw the graph of y= 2^({x}), where {*} represents the fractional part...

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