Find the domain and range of the following real functions:

(i) f(x) = -|x|

Given: f(x) = –|x|

_{As we know,}

Since, f(x) is defined for x Є R, the domain of f is R.

It can be observed that the range of f(x) = -|x| is all real numbers except positive real numbers.

Thus, the range of function is f(x) is (-∞, 0].