FUNCTION AND LIMITS MCQs Ch#01with answers

FUNCTION AND LIMITS MCQ Ch#01  consist of multiple Choice Questions with answers. Just read the MCQ and click on answer to check the mcqs answer.

Q.1 A rule that assigns to each element x in X a unique element y in Y is called a function from

(a) X to X 

(b) X to Y

(c) Y to X

(d) Y to Y

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Q.2. A function from X to Y is denoted by

(a)  f:X →X

(b) f:Y →X

(c) f:X →Y

(d) f:Y →Y

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Q.3  A function from Y to X is denoted by

(a)  f:X →X

(b) f:Y →X

(c) f:X →Y

(d) f:Y →Y 

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Q.4 A function f:X →Y is defined by f(x) = c , has the domain equal to:  (Gujranwala Board. 2007)

(a) {c}

(b) R

(c) R-{c}

(d) X

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Q.5 If y is expressed in terms of a variable x as y= f(x), then y is called      (Lahore Board. 2005)

(a) explicit function

(b) implicit function

(c) linear function 

(d) identity function

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 Q.6 If  f: X→Y   is a function, then is called    (Lahore Board, 2006)

(a) dependent variable off

(b) independent variable of f

(c) range of f

(d) range of f   

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Q.7  If f: X→Y is a function, then the elements of X are called

(a) pre-images

(b) images 

(c) constants

(d) ranges

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Q.8 If f:X→Y is a function and , then

(a) f(x) = 1

(b)

(c)

(d)

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Q.9 If f:X →f(X) is a function, then the elements of f(X) are called 

(a) pre-images

(b) images

(c) constants

(d) ranges

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Q.10 If y is an image of x under the function f, we write it as

(a) x = f (y)

(b) y = f (x)

(c) y = x

(d)

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Q.11  is

(a) Function

(b) Not function

(c) Ellipse 

(d) Line 

(Lahore board, 2007)

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Q.12 The function    has maximum value if 

(a) a > 0

(b) a < 0

(c) a > 1

(d)   a > 2

(Lahore board, 2007)

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Q.13  If   is a function then 

(a) f(x) = x

(b) f(x) = x²

(c) f(x) = x³

(d)  f(x) = -x²

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Q.14  If   is a function then f( 2 ) =

(a) -4

(b) -2

(c)  2

(d)  4

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Q.15  If   is a function then f( -2 ) =

(a) -4

(b) -2

(c)  2

(d)  4

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Q.16  If   is a function then f( -2 ) =

(a) -4

(b) -2

(c)  2

(d)  4

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Q.17  If   is a function then f( 2 ) =

(a) -4

(b) -2

(c)  2

(d)  4

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Q.18  If y = f ( x ) is a function, then y is called 

(a) dependent variable

(b) constant

(c)  independent variable

(d)  none of these 

(Lahore board, 2008)

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Q.19  If  is a function then f( 2 ) =

(a)  8

(b) -2

(c)  2

(d)  -8

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Q.20  If  is a function then f( 2 ) =

(a)  8

(b) -2

(c)  2

(d)  -8

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Q.20 If   is a function then f( -2 ) =

(a)  8

(b) -2

(c)  2

(d)  -8

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Q.21 If  is a function then f( 3 ) =

(a)  0

(b) 3

(c)  6

(d)  7

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Q.22 If  

(a)  1

(b) 9

(c)  -9

(d)  -1

(Lahore board, 2007)

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Q.23  If is a function then f( 4 ) =

(a)  0

(b) 3

(c)  6

(d)  7

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Q.24  If   is a function then f( 1 / 2) =

(a)  – 7 / 2

(b) – 5 / 2

(c)  – 3 / 2

(d)  – 1 / 2

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Q.25 If is a function then f( 0 ) =

(a)  -1

(b)  0

(c)  1

(d)  2

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