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

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

• 0 A
• 1 B
• -1 C
• none of these D

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

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

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

• sinx A
• cosx B
• tanx C
• secx 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

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

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

• 0 A
• -4 B
• 
  C
• none of these D

• 2 A
• 
  B
• -2 C
• none of these D

A function from X to Y is written as

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

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

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

• 3/4 A
• r B
• v C
• None of these D

f(x) = 2x²+ 3x + 5 is a

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

f(x) = 1 is

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

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

f(x) = log x + 3 is a

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

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square 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

• 2 A
• 6 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The period of the function f(x) = sin⁴x + cos⁴x is

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