ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

______________ 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

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

• 0 A
• 1 B
• f(x) C
• -f(x) 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) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 8 C
• ∞ D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• -25 B
• 5 C
• 45 D

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

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• none of these D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

• 2 A
• -1 B
• 8 C
• not defined D

• 
  A
• 
  B
• 
  C
• 
  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

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• 2 A
• 
  B
• -2 C
• none of these D

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

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

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

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

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

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

• 2 A
• 
  B
• 
  C
• 0 D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

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

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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these 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