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

• 0 A
• 2 B
• 1 C
• 3 D

The linear function f(x) = ax + b is an identity function if:

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

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 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

Which one is an identity function ?

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line 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

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