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

1078

2nd Year Math Chapter 1

1 / 20

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

A) None of these

B) (-∞, 0]

C) [0,∞)

D) (0, ∞)

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

A) 4x + 3

B) 4x^2 + 4x

C) x^4 − 2x^2

D) 2x^2 − 1

4 / 20

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

A) None of these

B) Co-domain of f

C) Domain of f

D) Range of f

5 / 20

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

A) [0,2]

B) [1,2]

C) all real numbers

D) (0,2)

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

A) Euler

B) Lebnitz

C) Lagrange

D) Newton

7 / 20

7. Cosh ²x – Sinh² x =

A) 0

B) None of these

C) -1

D) 1

8 / 20

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

A) Newton

B) Euler

C) Lagrange

D) Lebnitz

9 / 20

9. If f(x) = x²− 2x + 1 , then f(0) =

A) 1

B) 0

C) -1

D) 2

10 / 20

10. limx→0 (1 + x)^1/x =

A) e

B) e2

C) Undefined

D) 1e

11 / 20

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

A) One point only

B) More than one point

C) Two points

D) No point

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12. limx→a x³−a³/x−a=

A) 0

B) a^2

C) 3a2

D) Undefined

13 / 20

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

A) A cubic function

B) An identity function

C) A linear function

D) A quadratic function

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

A) 2x^2 − 1

B) x^4 − 2x^2

C) 4x + 3

D) 4x^2 + 4x

15 / 20

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

A) y ≤ 1, y ≥ −1

B) all real numbers

C) y < 1, y > −1

D) y ≥ 1, y ≤ −1

16 / 20

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

A) X

B) –iv real numbers

C) +iv real numbers

D) integers

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17. The graph of linear equation is always a

A) cube

B) circle

C) parabola

D) Straight line

18 / 20

18. cosechx is equal to

A) 2/e−x+ex

B) 1/ex−e−x

C) 2/ ex +e−x

D) 2/ex−e−x

19 / 20

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

A) R − {0}

B) R

C) Q

D) R − {±2}

20 / 20

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

A) An explicit function

B) An identity function

C) A linear function

D) An implicit function

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

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