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

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• 2 A
• 
  B
• -2 C
• none of these D

f(x) = 1 is

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

• 0 A
• 1 B
• -1 C
• none of these D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 0 A
• 1 B
• 
  C
• -1 D

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

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

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

• sinx A
• cosx B
• tanx C
• secx D

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

f(x) = sin x + cos²x is

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

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

• 0 A
• 1 B
• 1/2 C
• 
  D

A function from X to X is denoted as

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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

• 
  A
• 
  B
• 
  C
• 
  D

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

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

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

A function from X to Y is written as

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

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

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