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

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

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

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

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

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola 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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• e C
• Does not exist D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y 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

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

The function y = ln x is a/an -------------- function of x.

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

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D