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

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

The largest possible domain of the function:

y=√(x ) is:

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

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

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

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

The behavior of trigonometric function is called

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

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  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
• 
  B
• 
  C
• 
  D

If f(x) = (-x)²then f(-2) is

• 0 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

• 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

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

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

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

• 11 A
• 7 B
• 5 C
• 2 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

• 0 A
• 1 B
• 2 C
• 1/2 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

f(x) = x³is:

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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

f(x) = 2^x+ 3 . 2^2x+ 5 is

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

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• -1 D

• images A
• pre-images B
• constants C
• none of these 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

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

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

• 0 A
• 1 B
• 
  C
• none of these D