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

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

f(x) = 1 is

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

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

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

• 0 A
• -25 B
• 5 C
• 45 D

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

• range of f A
• domain of f B
• both (a) and (b) 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

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 1/2 C
• 
  D

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

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

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e 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

The domain of f(x) = log x is

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

• 2 A
• 6 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 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

• 
  A
• 
  B
• 
  C
• 
  D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y 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

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

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