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

f(x) = x3-x/x2+1 is :

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

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) 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

• 0 A
• 1 B
• 
  C
• none of these D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 0 A
• 1 B
• -1 C
• none of these D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 2 A
• -1 B
• 8 C
• not defined D

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 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

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

• image A
• pre-image B
• constant C
• none of these D

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

• 0 A
• 1 B
• 1/2 C

sin h x = ___________

• 
  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

• 
  A
• 
  B
• 
  C
• 
  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

• 0 A
• -2 B
• 1 C
• 4 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

f(x) = 2x²+ 3x + 5 is a

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

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

• Injective function A
• Bijective function B
• Surjective function C
• Implicit 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) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 3/4 A
• r B
• v C
• None of these 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