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

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

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

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

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  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

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

Which one is a constant function ?

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

• 0 A
• 2 B
• 1 C
• 3 D

• 0 A
• 1 B
• e C
• Does not exist 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

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function 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

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D

Let f(x) = x³ + sin x, then f(x) is:

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

• 
  A
• 
  B
• 
  C
• 
  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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D