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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

Which one is an identity function ?

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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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

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

x² + y² = 4 is:

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

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

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

• Even A
• Odd B
• One-one C
• Zero D

• 0 A
• 1 B
• e C
• Does not exist D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 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

• 1 A
• 2 B
• 3 C
• 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

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

• 
  A
• 
  B
• 
  C
• 
  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

Inverse hyperbolic functions are expressed in terms of natural:

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

• 
  A
• 
  B
• 
  C
• 
  D