Question

Domain of f(x)=|x| is.

• A. (-$\infty$,$\infty$)
• B. [0, $\infty$)
• C. 0
• D. (-$\infty$,0]

Answer 1

Answer: (A)

(-$\infty$,$\infty$)

Answer 2

The function given is $f(x) = |x|$.

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

The absolute value function, $f(x) = |x|$, is defined for all real numbers. There are no values of $x$ for which $|x|$ is undefined (e.g., no division by zero, no square roots of negative numbers, no logarithms of non-positive numbers).

Therefore, any real number can be an input to the function $f(x) = |x|$. In interval notation, the set of all real numbers is represented as $(-\infty, \infty)$.