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

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

• 
  A
• 
  B
• 
  C
• 
  D

If y is an image of x under the function f, we denote it by:

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

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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

Which one is a constant function ?

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

• Even A
• Odd B
• One-one C
• Zero D

Cosh² x + Sinh² x =

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

• Constant A
• Implicit B
• Explicit C
• Inverse 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

• 4 A
• Does not exist B
• 
  C
• 
  D

• Parabola A
• Hyperbola B
• Ellipse C
• Circle D

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

The function y = ln x is a/an -------------- function of x.

• Constant A
• Explicit B
• Exponential C
• Logarithmic D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

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

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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