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

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

• 0 A
• 3 B
• 9 C
• -3 D

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 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

• 0 A
• 1 B
• 8 C
• ∞ D

• 
  A
• 
  B
• 
  C
• 
  D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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

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

______________ 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

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• images A
• pre-images B
• constants C
• none of these D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

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

• 0 A
• 1 B
• 2 C
• 
  D

f(x) = log x + 3 is a

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

The trigonometric function are continuous whenever

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

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

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

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D