Question
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)?
NDA
Mathematics
Functions
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. (0, )
- B. (3, )
- C. (- , )
- D. (- , ) \ 3\
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: (- , )
Related: Mathematics — Functions · All PYQ Banks