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

f(x) = log x + 3 is a

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

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• 1 B
• -1 C
• none of these D

• 2 A
• 
  B
• 
  C
• 0 D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] 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

• 2 A
• 6 B
• 
  C
• 
  D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

The period of the function f(x) = sin⁴x + cos⁴x is

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

• 2 A
• -1 B
• 8 C
• not defined D

• image A
• pre-image B
• constant C
• none of these D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

A function from X to X is denoted as

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

• sin h x A
• cos h x B
• sec h x C
• cosec h x 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 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

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

• 0 A
• 1 B
• 
  C
• -1 D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

• 0 A
• 1 B
• 1/2 C

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

• 0 A
• 1 B
• 
  C
• none of these D

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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D