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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 2 A
• 6 B
• 
  C
• 
  D

• 2 A
• 1 B
• 5 C
• 0 D

• f(x) = x² A
• f(x²) = x B
• f(x) = x 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

The period of the function f(x) = sin⁴x + cos⁴x is

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

• 0 A
• 1 B
• 2 C
• 
  D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

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

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

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

• 2 A
• -1 B
• 8 C
• not defined D

• 
  A
• 
  B
• 
  C
• 
  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

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

• 0 A
• -4 B
• 
  C
• none of these D

f (x) = | x | is a/an

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

f(x) = 1 is

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

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  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

______________ 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
• 
  B
• 
  C
• 
  D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• 
  A
• 
  B
• 
  C
• 
  D