- #1

- 267

- 42

- Homework Statement
- (Choose all options below that correctly complete the following sentence.)

The domain of a multivariable function z=f(x,y) is:

-a subset of the real numbers

-a union of two subsets of the real numbers

-a subset of the xy-plane

-the union of the set of all values x where f(x,y) exists with the set of all values where f(x,y) exists

-the set of all ordered pairs of points (x,y) so that f(x,y) exists

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- Relevant Equations
- I think that only the last definition is complete: "the set of all ordered pairs of points (x,y) so that f(x,y) exists"

E.g. all real numbers could be a domain but not necessarily, etc. Am I right?