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

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

A) all real numbers

B) y < 1, y > −1

C) y ≤ 1, y ≥ −1

D) y ≥ 1, y ≤ −1

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2. limx→0 (1 + x)^1/x =

A) e2

B) Undefined

C) e

D) 1e

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

A) No point

B) More than one point

C) Two points

D) One point only

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4. 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

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5. limx→a x³−a³/x−a=

A) Undefined

B) a^2

C) 3a2

D) 0

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

A) Newton

B) Lebnitz

C) Euler

D) Lagrange

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

A) None of these

B) (-∞, 0]

C) [0,∞)

D) (0, ∞)

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

A) Newton

B) Lagrange

C) Lebnitz

D) Euler

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9. cosechx is equal to

A) 2/ex−e−x

B) 2/ ex +e−x

C) 2/e−x+ex

D) 1/ex−e−x

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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. The graph of linear equation is always a

A) parabola

B) Straight line

C) circle

D) cube

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

A) 2x^2 − 1

B) 4x + 3

C) x^4 − 2x^2

D) 4x^2 + 4x

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13. Cosh ²x – Sinh² x =

A) 1

B) None of these

C) -1

D) 0

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

A) all real numbers

B) y ≥ 1, y ≤ −1

C) y ≤ 1, y ≥ −1

D) y < 1, y > −1

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

A) A linear function

B) An identity function

C) An implicit function

D) An explicit function

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

A) Domain of f

B) Range of f

C) Co-domain of f

D) None of these

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

A) 0

B) -1

C) 1

D) 2

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

A) Q

B) R − {±2}

C) R

D) R − {0}

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

A) A linear function

B) A quadratic function

C) An identity function

D) A cubic function

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20.

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

A) (0,2)

B) [0,2]

C) [1,2]

D) all real numbers

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

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