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

• -1 A
• 1 B
• 2 C
• -2 D

• 3/4 A
• r B
• v C
• None of these 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

f(x) = sin x + cos²x is

• 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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

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

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

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

• 0 A
• 1 B
• 1/2 C

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

f(x) = sin x is:

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

The domain of f(x) = log x is

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

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

The behavior of trigonometric function is called

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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

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

• 1 A
• 2 B
• 3 C
• 4 D

• 0 A
• 1 B
• 1/2 C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

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

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

f(x) = ax + b will be an identity function if

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