Domain of a Vector Function

There is a Vector function of a single variable in R² and R³ have the form,

r^→ (t) = {f (t), g(t)}

r^→ (t) = {f (t) , g(t), h(t)}

correspondingly, where f (t) , g (t) and h (t) are known as the component functions.

The major idea that we want to discuss in this part is that of graphing and identifying the graph specified by a vector function. Though, before we do that, we should talk briefly about the domain of a vector function. The domain of vector function is the set of all t's for that all the component functions are defined.