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Mathematics - Functions

Practise 195 TS EAMCET previous year questions on Functions, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Functions has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 195 questions in all. 49% of them were easy, 42% moderate and 9% tough. Most of its questions came from 2020, with 26 questions that year. In the last three years (2022–2024) it had 52 questions across 17 papers, about 3.1 per paper.

The chapter's 11 topics are not weighted equally: Domain (40 questions, 21%), Range (36 questions, 18%), and Functional Equation (27 questions, 14%) have been asked the most. Over the last five years the most frequent topics have been Range (23), Domain (22), and Functional Equation (9). Composite Function has produced the most tough questions (7).

  1. 1The domain of the real valued function is04 May, 2025 (M)Domain
  2. 2If then04 May, 2025 (M)Range
  3. 3The domain and range of are A and B respectively. Then04 May, 2025 (E)Domain
  4. 4A function defined by is04 May, 2025 (E)Types of Function (Mapping)
  5. 5Functions are formed from the set to another set . If a function is selected at random, the probability that it is a one-one function is04 May, 2025 (E)Types of Function (Mapping)
  6. 6If and defined by is a surjection then ' ' lies in the interval03 May, 2025 (M)Range
  7. 7If the domain of the real valued function is , then03 May, 2025 (M)Domain
  8. 8Let be defined by , where denotes signum function of . Then is03 May, 2025 (E)Range
  9. 9If is a real valued function then the range of is02 May, 2025 (M)Range
  10. 10If is defined by then02 May, 2025 (E)Functional Equation
  11. 11The inverse of the function is02 May, 2025 (E)Inverse of a Function
  12. 12is an even function and is an odd function. If and , then11 May, 2024 (M)Odd and Even Functions
  13. 13If the real valued function is not defined for all then10 May, 2024 (M)Domain
  14. 14If is a real valued function from onto defined by then10 May, 2024 (M)Domain
  15. 15The domain of the real valued function is10 May, 2024 (E)Domain
  16. 16The range of the real valued function is10 May, 2024 (E)Range
  17. 17If and fo times , then09 May, 2024 (M)Composite Function
  18. 18The domain of the real valued function is09 May, 2024 (M)Domain
  19. 19The domain of the real valued function is09 May, 2024 (E)Domain
  20. 20is real valued function satisfying the relation . If then09 May, 2024 (E)Functional Equation
  21. 21Match the functions givenin List-I with their relevant characteristics from List-II. The correct answer is09 May, 2024 (E)Domain
  22. 22If denotes the number of combinations of distinct things taken at a time, then the domain of the function is14 May, 2023 (M)Domain
  23. 23Let . If is defined by , then is14 May, 2023 (M)Types of Function (Mapping)
  24. 24If is a function such that and then14 May, 2023 (M)Functional Equation
  25. 25The period of the function is14 May, 2023 (M)Periodicity
  26. 26If then14 May, 2023 (M)Inverse of a Function
  27. 27Let be a function defined by Then the number of real numbers for which is14 May, 2023 (E)Domain
  28. 28If and are two real valued functions such that and then14 May, 2023 (E)Composite Function
  29. 29If is a real valued function defined by and , then14 May, 2023 (E)Defintion of Function
  30. 30If the function is defined by then is13 May, 2023 (M)Types of Function (Mapping)
  31. 31The domain of the real valued function (Here denotes the greatest integer function)13 May, 2023 (M)Domain
  32. 32The range of the real valued function is13 May, 2023 (M)Range
  33. 33The values of do not lie in the interval13 May, 2023 (M)Range
  34. 34If then13 May, 2023 (M)Defintion of Function
  35. 35If , then13 May, 2023 (M)Functional Equation
  36. 36Which one of the following functions is a bijection?13 May, 2023 (E)Range
  37. 37The domain of the real valued function is13 May, 2023 (E)Domain
  38. 38The range of the function defined by13 May, 2023 (E)Range
  39. 39The range of the function is12 May, 2023 (M)Range
  40. 40If is defined by , then the range of is12 May, 2023 (M)Range
  41. 41If , then12 May, 2023 (M)Composite Function
  42. 42The domain of the function is12 May, 2023 (E)Domain
  43. 43The range of the function is12 May, 2023 (E)Range
  44. 44If is defined by , then is12 May, 2023 (E)Types of Function (Mapping)
  45. 45The domain of the real valued function is20 Jul, 2022 (M)Domain
  46. 46The range of the real valued function is20 Jul, 2022 (M)Range
  47. 47The set of all real values of the expression for all is20 Jul, 2022 (M)Range
  48. 48If represents the greatest integer function, then the set of all real values of for which is real is20 Jul, 2022 (E)Domain
  49. 49If denotes the greatest integer , then the range of the real valued function is20 Jul, 2022 (E)Range
  50. 50To set of all real values of for which is also real is19 Jul, 2022 (M)Range

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 195 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Functions has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 195 questions across 64 papers - about 3 per paper it appears in.

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

Of the 195 questions analysed for this chapter, 49% are easy, 42% moderate and 9% tough. 2020 had the most, with 26 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Domain - 40 questions (21%)
  • Range - 36 questions (18%)
  • Functional Equation - 27 questions (14%)
  • Composite Function has produced the most tough questions (7).
6.Is Functions's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Functions has averaged about 3.0 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 3.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.