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

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

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

• 0 A
• 1 B
• 2 C
• 3 D

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

• 0 A
• 1 B
• e C
• Does not exist 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

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

The term function was introduced by:

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

• 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

Which one is a constant function ?

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

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation 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

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola 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

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

• 
  A
• 
  B
• 
  C
• 
  D