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

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

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

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

• One-to-one and onto A
• One-to-one but not on to B
• Onto but not one-to-one C
• Neither one-to-one nor onto D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 8 C
• ∞ D

A function from X to X is denoted as

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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• images A
• pre-images B
• constants C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 
  B
• -2 C
• none of these D

A function from X to Y is written as

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

• 
  A
• 
  B
• 
  C
• 
  D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 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

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

• dependent variable A
• independent variable B
• constant C
• none of these D

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

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

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

The domain of f(x) = log x is

• [0,∞] A
• (0,∞) B
• [0,∞[ C
• [∞,∞] D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D