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

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

• 0 A
• 1 B
• 
  C
• -1 D

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

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

f(x) = 3x⁴ -2x² + 7 is:

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

• 0 A
• 1 B
• 1/2 C
• 
  D

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

The largest possible domain of the function:

y=√(x ) is:

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

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

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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 2 A
• 4 B
• 8 C
• 12 D

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• 2 B
• 3 C
• 4 D

• 0 A
• 1 B
• 8 C
• ∞ D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 
  A
• 
  B
• 
  C
• 
  D

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x is:

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

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

• 2 A
• 1 B
• 5 C
• 0 D

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

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

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• 3/4 A
• r B
• v C
• None of these D