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Mathematics Functions and Limits Online Test

Maan AliLast Updated: October 15, 2025

Start your preparation for Mathematics Functions and Limits Online Test. This online test contains important MCQs from past papers. Attempting this test will help you prepare for Annual Exams and Entry Tests. Read the questions carefully and select the correct option below to see your result.

Important Math Functions and Limits Question and Answer

Total Questions:	50
Time Allowed:	20 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Math Functions and Limits Practice Test Online With Explanation

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1. Every elements of A x B is in form of

Ordered pair

Ordered triples

Singles

Subset

2. If y is expressed in terms of a variable x as y = f(x), then y is called

Explicit function

Implicit function

Linear function

Identity function

3. The set of 1st elements of all ordered pairs of a binary relation is called its

Range

Domain

Co – domain

None of these

4. If f : X → Y is a function, then the elements of X are called

Pre –images

Images

Constants

Ranges

5. If y = eˣ, then f⁻¹ (x)

Lnx

eˣ

Logx

1/eˣ

6. If y is an image of x under the function f, we write it as

X = f(x)

Y = f(x)

Y = x

7. The domain of f(x) = 2 + √x – 1 ∀ x ϵ R is

[-1, ∞)

[1, ∞)

[2, ∞)

None of these

8. The function f(x) = ax² + bx + c has maximum value if

a > 0

a < 0

a > 1

a > 2

9. If graph of a function f has hole, jump or break then f is

Continuous function

Discontinuous

Constant

None of these

10. If : x – -x² is a function then,

-4

-2

11. If f : x → (-x²) is a function, then f(2) =

-4

-2

12. The function f (x) = x²–1/x+1 is undefined at

x = 0

x = 1

x = – 1

None of these

13. If f : x → x + 3 is a function, then f(3) =

14. Polynomial function will be linear function if degree is

15. If f : x – 2x²+5x–1/x+3 is a function, then f(0) =

– 1/3

– 1/4

– 1/5

16. For y = tanx, Range =

17. If f : x → tanx is a function, then f (π) =

-1

– ½

18. If f : x → x + 1 is a function, then f(t² – 1) =

t + 1

t² + 1

t²

19.

20. f(x) = x² – 4x + 1 is

Trigonometric function

Logarithmic function

Exponential function

Algebraic function

21.

22. f(x) = log x is

Trigonometric function

Logarithmic function

Exponential function

Algebraic function

23.

24. The graph of a linear function is

Parabola

Ellipse

Hyperbola

Straight line

25. Let variable t take in succession the value 4, 4 1/2, 4 2/3, 4 ¾, …………. then t →

Page 2 of 2

26. The linear function f(x) = ax + b is an identity function if

a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 0

27.

28. The function f : x → 1 is

Constant function

Cubic function

Quadratic function

Identity function

29.

30.

31. If A = {1, 2, 3, ………. 100} how many distinct relations can be established

2¹⁰⁰

2ⁿ

2¹⁰⁰ⁿ

32. The range of f(x) = [x] is

33.

34.

35. sinh⁻¹ x =

In(x + √x²+1)

In(x + √x² – 1)

½ In(1+x/1–x)

½ In(x+1/x–1)

36. If f(x) = 3x+1/2x–1 then f[f⁻¹ (3)]= ?

3/2

4/3

None of these

37. coth⁻¹ x =

In(x + √x²+1)

In(x + √x² – 1)

½ In(1+x/1–x)

½ In(x+1/x–1)

38. The domain of function h(x) = √x²–4 is

Real

R – {2}

R – {2, 2}

None of these

39. cosech⁻¹

In(1/x + √1+x²/|x|)

In(1/x + √1–x²/|x|)

½ In(1+x/1–x)

In(x + √x²+1)

40. If f (x) = 2x + 3, g (x) = x² then g of (x) = ?

2x² – 1

4x² + 4x

4x + 3

(2x + 3)²

41. The term function was introduced by a mathematician

German

French

Swiss

English

42. If f(x) = x³ + 2x² – 1 = then f(1+h)–f(1)/h =

h² – 5h + 7

h² + 5h + 7

h² + 5h – 7

43. If A is the area of the circle and C is its circumference C, then A =

1/8π C²

1/4π C²

1/2π C²

π C²

44. The volume of a cube of side length 2 is

2 cubic units

4 cubic units

8 cubic units

16 cubic units

45. The area of a square of side length 2 is

2 square units

4 square units

8 square units

16 square units

46. Domain of √4x–x² =

R – [0, 4]

R – (0, 4)

(0, 4)

[0, 4]

47. X = acos θ, y = btan θ are parametric equations of

Circle

Parabola

Ellipse

Hyperbola

48. The period of the function f(x) = sin √x is

2π

π/2

None of these

49. The period sin² θ is

π²

2π

π/2

50. The period of the function f(x) = 2sin x = 3 Cos 2x is

2π

π/2

None of these

How to Score High in Mathematics Functions and Limits Online Test?

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