ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

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

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• -1 C
• none of these D

• 0 A
• 1 B
• 1/2 C
• 
  D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 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

• 2 A
• 
  B
• -2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function 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

• 1 A
• 0 B
• -2 C
• 3 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

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

• 2 A
• 1 B
• 5 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

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

• 0 A
• 1 B
• 8 C
• ∞ D

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

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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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
• 1 C
• 2 D

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

• 11 A
• 7 B
• 5 C
• 2 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 rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

cos h² x + sin h² x

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