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

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

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

Which is an explicit function

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

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

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

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

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

• quadratic function A
• constant function B
• trigonometric function C
• linear function D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 0 A
• -2 B
• 1 C
• 4 D

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters 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 function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

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

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

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A function from X to X is denoted as

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

• 0 A
• 1 B
• 
  C
• none of these D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

• sin h x A
• cos h x B
• tan h x C
• cot h x 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

• 0 A
• 3 B
• 9 C
• -3 D

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

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

• 0 A
• 1 B
• 
  C
• -1 D

f(x) = x is

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D