Domain Definition in Multivariable Calculus | Introduction to Domain.

Domain Definition in Multivariable Calculus | 

Introduction to Domain:

Domain is the Input or Domain is the All the Value that is used as the input for the function.
The domain of a function is the complete set of possible values of the independent variable.
Example: when the function f(x) = x² is given the values x = {1,2,3,...} then the domain is simply those values {1,2,3,...}

What can go into a function is called the Domain
	What may possibly come out of a function is called the Codomain
	What actually comes out of a function is called the Range

When finding the domain, remember:

• The denominator (bottom) of a fraction cannot be zero
• The number under a square root sign must be positive in this section

How to find the domain

In general, we determine the domain of each function by looking for those values of the independent variable (usually x) which we are allowed to use. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).