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

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

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

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

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

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

A function from X to Y is written as

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

• 
  A
• 
  B
• 
  C
• 
  D

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these 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

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

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

• 0 A
• 1 B
• 1/2 C

A function from X to X is denoted as

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

• 
  A
• 
  B
• 
  C
• 
  D

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

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these 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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 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 f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

• 0 A
• 1 B
• 1/2 C
• 
  D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D