Second Year Math Chapter 01 Mcqs

Second Year Math Chapter 01 Mcqs consist of a lot of mcqs with answrs. These Mcqs are very helpful for examination point of view and also for ECAT preparation.

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

Second Year Math Chapter 01 Mcqs

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