The domain of a function is the set of all possible input values (often denoted as 'x' values) which will output a real number.

The function given is f(x) = x|x|. The absolute value function, |x|, is defined for all real numbers. Therefore, x can be any real number.

So, the domain of the function f(x) = x|x| is all real numbers. In interval notation, this is (-∞, ∞).

Question

The domain of a function is the set of all possible input values (often denoted as 'x' values) which will output a real number.

The function given is f(x) = x|x|. The absolute value function, |x|, is defined for all real numbers. Therefore, x can be any real number.

So, the domain of the function f(x) = x|x| is all real numbers. In interval notation, this is (-∞, ∞).

Knowee AI · Accepted Answer

The domain of a function is the set of all possible input values (often denoted as 'x' values) which will output a real number.

The function given is f(x) = x|x|. The absolute value function, |x|, is defined for all real numbers. Therefore, x can be any real number.

So, the domain of the function f(x) = x|x| is all real numbers. In interval notation, this is (-∞, ∞).

Find the domain of the function f(x)=x|x|