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

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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

• 0 A
• -2 B
• 1 C
• 4 D

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

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

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

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

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

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

• 0 A
• 1 B
• 
  C
• none of these D

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

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these 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

f(x) = x³is:

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

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

f(x) = sin x is:

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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 
  A
• 
  B
• 
  C
• 
  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

• 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 
  C
• -1 D

f(x) = log x + 3 is a

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

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

• 
  A
• 
  B
• 
  C
• 
  D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

• 2 A
• 4 B
• 8 C
• 12 D