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

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

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

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

• 0 A
• 1 B
• 1/2 C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• -2 A
• -1 B
• 1 C
• 2 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 f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

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

f(x) = C is

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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

• π A
• 2π B
• π/2 C
• None of these D

f(x) = log x + 3 is a

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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = ax + b will be a constant function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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

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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

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

• Images A
• Pre-images B
• ranges C
• Parameters D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

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

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

• 0 A
• 1 B
• -1 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 range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D