Function and Limits Mcqs with answers

Function and Limits Mcqs with answers consist of 50+ Multiple Choice Questions. This paragraph seems to be a topic list of multiple-choice questions (MCQs) related to the concept of functions and limits. It is likely to be useful for students studying mathematics, particularly calculus. The questions appear to have answers provided, which may make it a helpful study aid.

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1. A function f: Y ➝ X defined by f(x) = c for all x ∈ X, c ∈ Y, has a domain equal to

A. {c}

B. R

C. R-{c}

D. X

(Gujranwala Board 2007)

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

A. Explicit function

B. Implicit function

C. Linear function

D. Identity function

(Lahore Board 2005)

Explicit function

3. If f: X ➝ Y is a function then y ∈ Y is called

A. Explicit function

B. Implicit function

C. Linear function

D. Identity function

(Lahore Board 2006)

Explicit function

4. x² + y² = 4 is

A. Function

B. Not function

C. Ellipse

D. Line

(Lahore Board 2007)

Function

Table of Contents

Function and Limits Mcqs with answers

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

A. a > 0

B. a < 0

C. a > 1

D. a > 2

(Lahore Board 2005)

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

A. Dependent variable

B. Independent variable

C. Constant

D. None of these

(Lahore Board 2008)

Dependent variable

7. If f(x) = 2x + 5 then f (2) equals

A. 1

B. 9

C. -9

D. -1

(Lahore Board 2007)

8. If f(x) = xsec x, then f (0) =

A. -1

B. 0

C. 1

D. ∞

(Gujranwala Board 2005)

9. If f: X ➝ Y is a function then X is called

A. Domain

B. Range

C. Function

D. Dependent variable

(Gujranwala Board 2005)

Domain

10. The Linear function f (x) = ax + b is an identity function if

A. a = 0, b = 1

B. a = 1, b = 0

C. a = 1, b = 1

D. a = 0, b = 0

(Gujranwala Board 2007)

a = 1, b = 0

Function and Limits Mcqs with answers Part 02

Q.31 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

(d) Y to Y

(b) X to Y

Q.32. A function from X to Y is denoted by

(a) f:X →X

(b) f:Y →X

(d) f:Y →Y

Q.33 A function from Y to X is denoted by

(a) f:X →X

(b) f:Y →X

(d) f:Y →Y

(b) f:Y →X

Q.34 A function f:X →Y is defined by f(x) = c $\forall x\in X,c\in Y$ , has the domain equal to: (Gujranwala Board. 2007)

(a) {c}

(b) R

(d) X

Q.35 If y is expressed in terms of a variable x as y= f(x), then y is called

(a) explicit function

(b) implicit function

(d) identity function

(Lahore Board. 2005)

explicit function

Q.36 If f: X→Y is a function, then $y \in Y$ is called (Lahore Board, 2006)

(a) dependent variable of f

(b) independent variable of f

(d) range of f

dependent variable of f

Q.37 If f: X→Y is a function, then the elements of X are called

(a) pre-images

(b) images

(d) ranges

pre-images

Q.38 If f:X→Y is a function and $x \in X$ , then

(a) f(x) = 1

(b) $f(x) \in Y$

(d) $f(x) \notin Y$

(b) $f(x) \in Y$

Q.39 If f:X →f(X) is a function, then the elements of f(X) are called

(a) pre-images

(b) images

(d) ranges

images

Q.40 If y is an image of x under the function f, we write it as

(a) x = f (y)

(b) y = f (x)

(d) $y \neq f(x)$

y = f (x)

Function and Limits Mcqs with answers

Q.41 $x^2+y^2=4$ is

(a) Function

(b) Not function

(d) Line

(Lahore board, 2007)

Function

Q.42 The function $f(x)=ax^2+bx+c$ has maximum value if

(a) a > 0

(b) a < 0

(d) a > 2

(Lahore board, 2007)

a < 0

Q.43 If $f : x \rightarrow -x^2$ is a function then

(a) f(x) = x

(b) f(x) = x²

(d) f(x) = -x²

f(x) = -x²

Function and Limits Mcqs with answers Part 3

Q.44 If $f : x \rightarrow -x^2$ is a function then f( 2 ) =

(a) -4

(b) -2

(d) 4

-4

Q.45 If $f : x \rightarrow -x^2$ is a function then f( -2 ) =

(a) -4

(b) -2

(d) 4

-4

Q.46 If $f : x \rightarrow (-x^2)$ is a function then f( -2 ) =

(a) -4

(b) -2

(d) 4

Q.47 If $f : x \rightarrow (-x^2)$ is a function then f( 2 ) =

(a) -4

(b) -2

(d) 4

Q.48 If y = f ( x ) is a function, then y is called

(a) dependent variable

(b) constant

(d) none of these

(Lahore board, 2008)

dependent variable

Q.49 If $f: x \rightarrow x^3$ is a function then f( 2 ) =

(a) 8

(b) -2

(d) -8

Q.50 If $f: x \rightarrow x^3$ is a function then f( 2 ) =

(a) 8

(b) -2

(d) -8

Function and Limits Mcqs with answers part 04

Q.51 If $f:x \rightarrow -x^3$ is a function then f( -2 ) =

(a) 8

(b) -2

(d) -8

Q.52 If $f : x \rightarrow x+3$ is a function then f( 3 ) =

(a) 0

(b) 3

(d) 7

Q.53 If $f : x \rightarrow 2x+5 \;then\; f(2)\; equals$

(a) 1

(b) 9

(d) -1

(Lahore board, 2007)

Q.54 If $f : x \rightarrow x+3$ is a function then f( 4 ) =

(a) 0

(b) 3

(d) 7

Q.55 If $f : x \rightarrow x-3$ is a function then f( 1 / 2) =

(a) – 7 / 2

(b) – 5 / 2

(d) – 1 / 2

-5/2

Q.56 If $f : x \rightarrow x^2-2x+1$ is a function then f( 0 ) =

(a) -1

(b) 0

(d) 2

Function and Limits Mcqs with answers

Function and Limits Mcqs with answers Part 02

Function and Limits Mcqs with answers

Function and Limits Mcqs with answers Part 3

Function and Limits Mcqs with answers part 04

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