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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = 3x/x² + 1 is:

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 3/4 A
• r B
• v C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

The domain of f(x) = log x is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

• 2 A
• 1 B
• 5 C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

The trigonometric function are continuous whenever

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

f(x) = ax + b will be a constant function if

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

• 
  A
• 
  B
• 
  C
• 
  D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

A function from X to X is denoted as

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

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

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

• 0 A
• -4 B
• 
  C
• none of these D

• 0 A
• -2 B
• 1 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D