Second Year Mathematics Chapter 1 Online MCQ Test Functions and Limits Preparation

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

• Constant A
• Implicit B
• Explicit C
• Inverse D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} D

• 
  A
• 
  B
• 
  C
• 
  D

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) D

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

• Line A
• Parabola B
• Ellipse C
• Hybperbola D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these D

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

• Euler A
• Cauchy B
• Leibniz C
• Newton D

• 0 A
• 1 B
• e C
• Does not exist D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

Which one is a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 D

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = cos x, then f(x) is an:

• Even function A
• Odd function B
• Power function C
• None of these D

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D