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

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

• 0 A
• 2 B
• 1 C
• 3 D

Which one is a constant function ?

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

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

• Even A
• Odd B
• One-one C
• Zero D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

Let f(x) = x³ + sin x, then f(x) is:

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

x = 3 cos t, y = 3 sin t represent

• Line A
• Circle B
• Parabola C
• Hyperbola D

• 0 A
• 1 B
• e C
• Does not exist D

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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