ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

• image A
• pre-image B
• constant C
• none of these D

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

f(x) = log x + 3 is a

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

• 2 A
• 6 B
• 
  C
• 
  D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 3 B
• 9 C
• -3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

• 1 A
• 0 B
• -2 C
• 3 D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

• 2 A
• 
  B
• -2 C
• none of these D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D