Function and Limits Mcqs|Ch:01| Fsc Math second Year

Function and Limits Mcqs|Ch:01| Fsc Math second Year consist of 50+ Multiple Choice Questions. Prepare these mcqs for Fsc, ECAT and other examinations. These mcqs are very helpful for preparing NTS and PPSC exams. The mcqs were uploaded on daily basis so keep visiting this website. ONCE the material is completely uploaded then Explanation of each mcqs and videos will be provided very soon.

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

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

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)

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

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

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

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