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Mathematics - Functions

Practise 283 AP 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 AP EAMCET tests.

Functions has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 283 questions in all. 45% of them were easy, 42% moderate and 13% tough. Most of its questions came from 2020, with 39 questions that year. In the last three years (2022–2024) it had 75 questions across 28 papers, about 2.7 per paper.

The chapter's 13 topics are not weighted equally: Range (56 questions, 20%), Functional Equation (45 questions, 16%), and Types of Function (Mapping) (42 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Domain (27), Range (21), and Types of Function (Mapping) (19). Composite Function has produced the most tough questions (11).

  1. 1If , defined by , is an onto function then27 May, 2025 (M)Range
  2. 2Let and \([x]\) denotes the greatest integer less than or equal to \(x\). Then for all27 May, 2025 (M)Composite Function
  3. 3The domain of the real valued function is26 May, 2025 (M)Domain
  4. 4A real valued function defined by is a bijection. If then26 May, 2025 (M)Types of Function (Mapping)
  5. 5Let represent the greatest integer less than or equal to , and . If is a real valued function, then26 May, 2025 (E)Functions
  6. 6If the range of the function is , then which one of the following is not in the domain of f ?26 May, 2025 (E)Range
  7. 7The domain of the function is24 May, 2025 (M)Domain
  8. 8Consider the following statements Statement-I : A function is said to be one-one if and only if Statement-II : A relation is said to be a fu23 May, 2025 (M)Types of Function (Mapping)
  9. 9denotes the greatest integer function and when . If and then the range of is23 May, 2025 (E)Domain
  10. 10If , then is23 May, 2025 (E)Inverse of a Function
  11. 11Let be a function such that for every . If , then22 May, 2025 (M)Functional Equation
  12. 12If a real valued function defined by is a surjection, then22 May, 2025 (M)Range
  13. 13The sum of the least positive integer and the greatest negative integer in the range of the function is22 May, 2025 (M)Range of rational functions
  14. 14The set of all real values of for which is a well defined function is22 May, 2025 (E)Domain
  15. 15The domain and range of a real valued function are respectively.21 May, 2025 (M)Range
  16. 16If and are two functions defined by and , then the least value of the function is21 May, 2025 (M)Composite Function
  17. 17The set of all real values of such that is a real valued function is21 May, 2025 (E)Domain
  18. 18If a function is defined by , then is21 May, 2025 (E)Types of Function (Mapping)
  19. 19Domain of the real valued function is21 May, 2025 (E)Domain
  20. 20If and the function is defined by then the sum of all absolute values of elements of A is23 May, 2024 (M)Number of Solutions
  21. 21Which of the following functions are odd? I. II. III.23 May, 2024 (M)Odd and Even Functions
  22. 22The domain of the real valued function , is22 May, 2024 (M)Domain
  23. 23If set A has 5 elements, set B has 7 elements then the number of many one functions that can be defined from to is22 May, 2024 (M)Types of Function (Mapping)
  24. 24If and are the maximum values of and respectively, then22 May, 2024 (M)Range
  25. 25The range of the real valued function is22 May, 2024 (E)Range
  26. 26Define the functions and from R to R such that and consider the following statements22 May, 2024 (E)Composite Function
  27. 27The domain of the real valued function is21 May, 2024 (M)Domain
  28. 28The range of the real valued function is21 May, 2024 (M)Range
  29. 29If the period of the function is , then21 May, 2024 (M)Periodicity
  30. 30The range of the real valued function is21 May, 2024 (E)Range
  31. 31The real valued function defined by is21 May, 2024 (E)Types of Function (Mapping)
  32. 32If terms , then21 May, 2024 (E)Defintion of Function
  33. 33Let and fo fo fo..... n times if all the lines pass through a fixed point , then20 May, 2024 (M)Composite Function
  34. 34Let and . If is defined by then is20 May, 2024 (M)Types of Function (Mapping)
  35. 35is defined by If , then20 May, 2024 (E)Functional Equation
  36. 36The domain of the real valued function is20 May, 2024 (E)Domain
  37. 37If a real valued function defined by is a bijection, then19 May, 2024 (E)Types of Function (Mapping)
  38. 38The domain of the real valued function19 May, 2024 (E)Domain
  39. 39Statement (S1): . Statement (S2): Range of is Which one of the following is correct?19 May, 2024 (E)Range
  40. 40For all assume that is differentiable, and . Then the least possible value of (2024) is19 May, 2024 (E)Range
  41. 41If a function is defined by , then is18 May, 2024 (M)Types of Function (Mapping)
  42. 42If and then18 May, 2024 (M)Composite Function
  43. 43represents the transformed equation of the equation . If this transformation removes the term containing from , then18 May, 2024 (M)Functional Equation
  44. 44The range of the function19 May, 2023 (M)Range
  45. 45The domain of the function , where and are related by is19 May, 2023 (M)Domain
  46. 46If is the domain and is the range of the function then18 May, 2023 (M)Range
  47. 47If and are defined by and , then the value of that satisfy , lie in the interval18 May, 2023 (M)Range
  48. 48If and are two real valued functions such that and , then the function is discontinuous on the set18 May, 2023 (M)Composite Function
  49. 49The range of the real valued function is18 May, 2023 (E)Range
  50. 50If is defined by , then the value of18 May, 2023 (E)Functional Equation

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 283 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Functions has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 283 questions across 93 papers - about 3 per paper it appears in.

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

Of the 283 questions analysed for this chapter, 45% are easy, 42% moderate and 13% tough. 2020 had the most, with 39 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Range - 56 questions (20%)
  • Functional Equation - 45 questions (16%)
  • Types of Function (Mapping) - 42 questions (15%)
  • Composite Function has produced the most tough questions (11).
6.Is Functions's weightage in AP EAMCET going up or down?

Across all 93 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 2.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.