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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 2 A
• 
  B
• 
  C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to Y is written as

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

A function from X to X is denoted as

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

• 0 A
• 1 B
• -1 C
• none of these D

The largest possible domain of the function:

y=√(x ) is:

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

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

The behavior of trigonometric function is called

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

• 0 A
• 1 B
• 
  C
• -1 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

• 2 A
• 1 B
• 5 C
• 0 D

f(x) = C is

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x 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

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

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

• 2 A
• 4 B
• 8 C
• 12 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

• 0 A
• 1 B
• 2 C
• 
  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