Difference between domain and maximal domain?

[msnkenqo]

What is the difference between finding the domain of a function and finding the maximal domain function?

[TrueTears]

They are generally the same thing, the maximal domain is the set of points where a function exists.

For example: Find the maximal domain of y = 2x +1
This would just be all real numbers

Find the maximal domain of y =1/x + 1
Theres an assyntope at x = 0 and y = 1. So the maximal domain is all real numbers excluding 0

Maximal domain and domain are not the same thing. They are defined differently,

E.g., the maximal domain of would be . However, I can define the function to have domain , in which case the domain would be .

In short, the maximal domain is defined as the set of all real numbers for which the function is defined at, while the domain can be any subset of the maximal domain.

[abeybaby]

Uh, (1, 5] is not a subset of R\{3}... see what happens when you do too much advanced maths TT!

[Swagadaktal]

yeah the domain would be (1,3)U(3,5] not (1,5]

[TrueTears]

Uh, (1, 5] is not a subset of R\{3}... see what happens when you do too much advanced maths TT!

haha rephrase that to be "... a particular subset"

[fred42]

Are you aware the calculator has a domain function?

Look in catalogue.

[Swagadaktal]

the domain function gives maximal domain and not a specific domain