Function - JEE Main Previous Year Question with Solutions

JEE Main typically has 2–3 questions from Functions per paper, based on NTA's official paper releases from 2019 to 2024. The exact count varies by session, but this topic has appeared in every session without exception. Domain and Range is consistently the most-tested sub-topic, followed by Bijective functions and Composition.

The most important sub-topics, in order of frequency, are: Domain and Range, Types of Functions (injective/surjective/bijective), Composition of Functions, Inverse of a Function, and Odd/Even Functions. Functional equations and periodic functions are lower-frequency but can appear at higher difficulty in later sessions.

Write down every restriction the expression imposes — square roots require the expression inside to be ≥ 0, logarithms require the argument to be > 0, and fractions require the denominator to be ≠ 0. Apply all conditions simultaneously and take the intersection of all valid sets. Always verify by testing boundary values.

Yes. Functions is part of the Sets, Relations and Functions unit in the JEE Main 2025 Mathematics syllabus, as listed on the official NTA website (nta.ac.in). This unit is classified under Class 11 Mathematics and carries significant weightage across both Paper sessions.

The domain is the complete set of valid input values (x-values) for which the function is defined. The range is the set of all actual output values (y-values) that the function produces for those inputs. The codomain is the set within which the range falls, but range and codomain are equal only for onto (surjective) functions.