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Mathematics - Functions

Practise 40 Manipal (MET) previous year questions on Functions, compiled from papers spanning 2010 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 Manipal (MET) tests.

Functions has been asked in 13 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 39 questions in all. 67% of them were easy, 23% moderate and 10% tough. Most of its questions came from 2019, with 7 questions that year. In the last three years (2022–2024) it had 6 questions across 3 papers, about 2 per paper.

The chapter's 8 topics are not weighted equally: Range (10 questions, 26%), Domain (7 questions, 18%), and Composite Function (6 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Composite Function (2), Functional Equation (2), and Range (2). Functional Equation has produced the most tough questions (3).

  1. 1Let: be defined as for all . Then is2024Types of Function (Mapping)
  2. 2Let is a polynomial function such that and , if and , then the value of is2024Functional Equation
  3. 3Let , then2023Composite Function
  4. 4Set of values of lying in satisfying the inequality contains2023Range
  5. 5Let , then2022Composite Function
  6. 6For what value of lying between 0 and which satisfy inequality2022Range
  7. 7If for all , there exists a function satisfying such that and , then value of will be2020Functional Equation
  8. 8If , then domain of has how many integral values of ?2020Domain
  9. 9The period of is2019Periodicity
  10. 10For , the value of always lies in the interval2019Range
  11. 11If , where and is a positive integer, then is equal to2019Composite Function
  12. 12If , then2019Functional Equation
  13. 13The range of is2019Range
  14. 14The domain of the function is :2019Domain
  15. 15The maximum value of is2019Range
  16. 16If , then is equal to2017Functional Equation
  17. 17If is a non-negative continuous function for all such that , where and , then is equal to2016Functional Equation
  18. 18The domain of definition of the function is)2016Domain
  19. 19The number of solutions of the equation belonging to the domain of definition of , is2015Number of Solutions
  20. 20The range of the function is2015Range
  21. 21The number of positive integral solutions of , is2015Number of Solutions
  22. 22If and , then and are2014Composite Function
  23. 23Let be defined by , then is2014Composite Function
  24. 24If and , then is equal to2014Defintion of Function
  25. 25The length of the longest interval, in which is increasing, is2014Range
  26. 26The range of is2014Range
  27. 27If for all and and , then will be2014Functional Equation
  28. 28One mapping (function) is selected at random from all the mappings of the set into itself. The probability that the mapping selected is one-2014Types of Function (Mapping)
  29. 29Let for all . If and , then equal to2013Defintion of Function
  30. 30Domain of the function is2012Domain
  31. 31Domain of definition of function for real-valued of , is2012Domain
  32. 32The vertex connectivity of any tree is2012Number of Solutions
  33. 33If is real, then the value of does not lie between2011Range
  34. 34The domain and range of are2011Domain
  35. 35The function , is equivalent to2011Defintion of Function
  36. 36If and , then is equal to2011Composite Function
  37. 37In the group the solution of is2011Number of Solutions
  38. 38The range of the function is2010Range
  39. 39The domain of the function is2010Domain
  40. 40The period of the function is2010Periodicity

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 40 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Functions has appeared in 13 of the 15 years of Manipal (MET) papers covered here, with 40 questions across 13 papers - about 3 per paper it appears in.

4.What is the difficulty level of Functions questions in Manipal (MET)?

Of the 39 questions analysed for this chapter, 67% are easy, 23% moderate and 10% tough. 2019 had the most, with 7 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Range - 10 questions (26%)
  • Domain - 7 questions (18%)
  • Composite Function - 6 questions (15%)
  • Functional Equation has produced the most tough questions (3).
6.Is Functions's weightage in Manipal (MET) going up or down?

Across all 13 papers analysed, Functions has averaged about 3.1 questions per paper. In the last three years (2022–2024), that average has fallen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.