UPSC NDA I 2025 Mathematics Paper

Given,
The function is f(x)=|x−3|, which is an absolute value function.
The domain of an absolute value function f(x)=|x−a| is all real numbers, because the absolute value function is defined for all values of x. The function handles both positive and negative inputs for x .
Since there are no restrictions or undefined points for the absolute value function, the domain is all real numbers.
∴ The domain of the function is (−∞,∞)