Describe a continuous function and its domain?

The domain of a function is the amount of numbers that function can draw from. For instance, a function +2 has an infinite domain, because you can add 2 to any number. The function square root would...

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x is a letter often used as a variable. It can be in the range or the domain. However, in elementary algebra, the variable x is most often used for the domain and f(x) =y for the range.

No. Not all functions are continuous. For example, the function f(x) = 1/x is undefined at x = 0.

For an Explicit Function, you are going to need to have 2 functions, that mirror each other. So you are going to need two equations: y=(1-x^2)^(1/2) and y=-(1-x^2)^(1/2) you need to have them...