Find the domain of each of the following functions given by

Given: f(x) = x|x|

To find: the domain of function

Explanation: So, the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

Given,

f(x) = x|x|

We know x and |x| are defined for all real values.

Hence the domain of f = R