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

• 2 A
• -1 B
• 8 C
• not defined D

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

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

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

• 0 A
• 1 B
• 1/2 C
• 
  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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 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

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

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

A function of the form p(x)/Q(x) is called:

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

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

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

An even function is symmetric about the line

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

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

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

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 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

• 0 A
• -2 B
• 1 C
• 4 D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

A function from X to Y is written as

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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

• 0 A
• -4 B
• 
  C
• none of these D