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

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• e C
• Does not exist 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

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

The term function was introduced by:

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

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

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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

• Even A
• Odd B
• One-one C
• Zero 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

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

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

tanh 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

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

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