2nd Year Math Chapter 1 Functions and Limits MCQs With Answers

Students who are looking for the 2nd Year Math Chapter 1 Functions and Limits MCQs With Answers are here on the right site. We are providing the important MCQs that you can prepare to get good marks. This chapter is about the functions and limits. Functions are used to explain the relationship between the variable quantities. They have different types and 11 types are described here. Further in this chapter, the concepts of Composition of Functions and Inverse of a function, limits of function, and continuous and discontinuous functions are very important. So, to prepare well for the exams or entry tests, then you must have a good grip on all the topics. It means 2nd Year Math MCQs with Answers are going to help you in this scenario. Scroll down to check the important MCQs.

2nd Year Math Chapter 1 Functions and Limits MCQs With Answers

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2nd Year Math Chapter 1

1 / 20

If f(x) = {x , when 0 ≤ x ≤ 1
x − 1 , when 1 < x ≤ 2 , then domain of f

A) [1,2]

B) (0,2)

C) [0,2]

D) all real numbers

2 / 20

2. If y = cotx , domain = {x|x ∈ R, x = nπ , n integer} then range is

A) y ≥ 1, y ≤ −1

B) y ≤ 1, y ≥ −1

C) all real numbers

D) y < 1, y > −1

3 / 20

3. Cosh ²x – Sinh² x =

A) 1

B) 0

C) -1

D) None of these

4 / 20

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

A) An implicit function

B) An identity function

C) A linear function

D) An explicit function

5 / 20

5. limx→0 (1 + x)^1/x =

A) 1e

B) e

C) e2

D) Undefined

6 / 20

6. The function I(x) = x is called:

A) An identity function

B) A quadratic function

C) A cubic function

D) A linear function

7 / 20

7. limx→a x³−a³/x−a=

A) Undefined

B) 0

C) a^2

D) 3a2

8 / 20

8. When we say that f is a function from set X to set Y, then X is called

A) Co-domain of f

B) None of these

C) Domain of f

D) Range of f

9 / 20

9. If y = cosecx , domain = {x|x ∈ R, x = nπ , n integer} then range is

A) y < 1, y > −1

B) y ≤ 1, y ≥ −1

C) all real numbers

D) y ≥ 1, y ≤ −1

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10. The domain and range of identity function, I: X → X is

A) –iv real numbers

B) X

C) integers

D) +iv real numbers

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11. If f(x) = 2x + 3, g(x) = x2 − 1 , then (gof)(x) =

A) 2x^2 − 1

B) 4x^2 + 4x

C) 4x + 3

D) x^4 − 2x^2

12 / 20

12. If f(x) = x2 then the range of f is

A) [0,∞)

B) (-∞, 0]

C) (0, ∞)

D) None of these

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13. If a graph expresses a function, then a vertical line must cut the graph at

A) More than one point

B) One point only

C) Two points

D) No point

14 / 20

14. The graph of linear equation is always a

A) parabola

B) cube

C) Straight line

D) circle

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15. If f(x) =x/ x²−4 then domain of f is

A) R

B) R − {0}

C) Q

D) R − {±2}

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16. If f(x) = 2x + 3, g(x) = x² − 1 , then (fof)(x) =

A) 4x + 3

B) x^4 − 2x^2

C) 4x^2 + 4x

D) 2x^2 − 1

17 / 20

17. The notation y = f(x) was invented by

A) Lagrange

B) Newton

C) Lebnitz

D) Euler

18 / 20

18. cosechx is equal to

A) 2/ ex +e−x

B) 1/ex−e−x

C) 2/ex−e−x

D) 2/e−x+ex

19 / 20

19. If f(x) = x²− 2x + 1 , then f(0) =

A) 1

B) 0

C) -1

D) 2

20 / 20

20. The term “Function” was recognized by______ to describe the dependence of one quantity on another.

A) Lebnitz

B) Euler

C) Lagrange

D) Newton

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2nd Year Math Chapter 1 Functions and Limits MCQs With Answers

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