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

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 0 A
• 1 B
• -1 C
• none of these D

f(x) = 2x²+ 3x + 5 is a

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

• 1 A
• 0 B
• -2 C
• 3 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

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

The behavior of trigonometric function is called

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

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e 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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

f(x) = log x + 3 is a

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

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 function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

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

• R A
• R + 2 B
• [R - (+2) C
• R-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 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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 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

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

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

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