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

______________ 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) = | x | is a/an

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 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

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

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

• α A
• c B
• b C
• d D

f(x) = 1 is

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 0 A
• 1 B
• -1 C
• none of these 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

The trigonometric function are continuous whenever

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

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters D

• 
  A
• 
  B
• 
  C
• 
  D