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Mathematics - Functions

Practise 22 VITEEE previous year questions on Functions, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Functions has been asked in 13 of the 18 years of VITEEE papers analysed (2006–2024), with 22 questions in all. 36% of them were easy, 45% moderate and 18% tough. Most of its questions came from 2016, with 4 questions that year. In the last three years (2022–2024) it had 5 questions across 3 papers, about 1.7 per paper.

The chapter's 9 topics are not weighted equally: Domain (7 questions, 32%), Types of Function (Mapping) (4 questions, 18%), and Inverse of a Function (3 questions, 14%) have been asked the most. Domain has also led over the last five years, with 2 questions. Domain has produced the most tough questions (2).

  1. 1Period of is equal to (where is fractional part function)2024Periodicity
  2. 2Let \( {f}: [- { }{3}, {2 }{3} ] [0,4]\) be a function defined as \(f(x)= {3} x- x+2\). Then, \(f^{-1}(x)\) is given by2023Inverse of a Function
  3. 3The function \( {f}( {x})= { {x}}{ {e}^{ {x}}-1}+ { {x}}{2}+1\) is -2023Odd and Even Functions
  4. 4Range of the function \(f(x)= {x^2+x+2}{x^2+x+1} ; x R\) is2022Range
  5. 5Let \( {A}=\{1,2,3,4,5\}\) and the functions \( {f}: {A} {A}\) and \( {g}: {A} {A}\) be defined by \( {f}(1)=3, {f}(2)=5, {f}(3)=3, {f}(4)=12022Composite Function
  6. 6The domain of the function is2021Domain
  7. 7If , then2021Domain
  8. 8The domain of the function is :2019Domain
  9. 9Let be two functions such that . The function is equal to2019Inverse of a Function
  10. 10The range of the function is2017Range
  11. 11If is a polynomial satisfying for all real and and then is2016Functional Equation
  12. 12If , then the value of is2016Defintion of Function
  13. 13The domain and range of the function given by is2016Range
  14. 14The number of surjective functions from to where and is2016Types of Function (Mapping)
  15. 15The domain of the function is2013Domain
  16. 16The function defined by is2012Types of Function (Mapping)
  17. 17The domain of the function is2012Domain
  18. 18Let bedefined as , find .2011Inverse of a Function
  19. 19The period of is2009Domain
  20. 20The imaginary part of is2007Domain
  21. 21The simultaneous equations , and have only one solution when2007Types of Function (Mapping)
  22. 22The volume of the tetrahedron with vertices and is2006Types of Function (Mapping)

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 22 questions compiled from VITEEE papers spanning 2006 to 2024.

2.Are these questions only from VITEEE, or from other exams too?

These are VITEEE questions specifically for the Functions chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Functions an important chapter for VITEEE Mathematics?

Functions has appeared in 13 of the 18 years of VITEEE papers covered here, with 22 questions across 13 papers - about 2 per paper it appears in.

4.What is the difficulty level of Functions questions in VITEEE?

Of the 22 questions analysed for this chapter, 36% are easy, 45% moderate and 18% tough. 2016 had the most, with 4 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Domain - 7 questions (32%)
  • Types of Function (Mapping) - 4 questions (18%)
  • Inverse of a Function - 3 questions (14%)
  • Domain has produced the most tough questions (2).
6.Is Functions's weightage in VITEEE going up or down?

Across all 13 papers analysed, Functions has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.