NDA2025MathematicsFunctionsActual
Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| . What is the domain of the function f(x) ?
Options
- A(0, )
- B(3, )
- C(- , )
- D(- , ) 3
Correct answer
C. (- , )
Step-by-step solution
The given function is f(x) = |x - 3| . The expression x - 3 is a linear polynomial, which is defined for all real values of x . The absolute value function is also defined for all real numbers. Thus, f(x) is defined for all x R . The domain of f(x) is (- , ) . Answer: (- , )