2nd Year Mathematics Chapter 1 Online MCQ Test for 12th Class Mathematics Unit 1 (Functions and Limits)

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

• 1 A
• 2 B
• 3 C
• 4 D

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

• 
  A
• 
  B
• 
  C
• 
  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

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none D

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

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D

Which one is an identity function ?

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

• Constant function A
• Absolute linear function B
• Linear function C
• Quadratic function D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x³ + sin x, then f(x) is:

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

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

• sin x A
• cos x B
• sinh x C
• cosh x 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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D