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

If f(x) = |x|, f(x) is a:

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

• 0 A
• 2 B
• 1 C
• 3 D

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

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

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

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

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

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

• Even A
• Odd B
• One-one C
• Zero D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which one is a constant function ?

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

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D