Types of Functions

Def: Real-Valued Function

Also called scalar valued functions, is

f:DRnR

Def: Vector-valued Function

f:DRnRm

where

f(x)=[g1(x)g2(x)gm(x)]

g1,g2,,gm are called component functions

Parametric Curve

A parametric curve is a type of vector valued function F:RRn like:

F(t)=(f(t),g(t),h(t))

Where f(t),h(t),g(t) are called coordinate functions

Also called a path

Example:

C:RR2 mapping t[cost,sint] is a unit circle