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

• 0 A
• 1 B
• 2 C
• 
  D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• x = f(y) A
• y = f(x) B
• x = f(x) C
• y = f(y) D

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

The domain of y =√(x^2-9) is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• -1 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

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

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

• 
  A
• 
  B
• 
  C
• 
  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 natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

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

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

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

f(x) = ax + b will be an identity function if

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

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion 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