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

Explanation

`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.