this video we’re going to look at how to describe

function as a mapping we have the set of all the inputs that yield an output

which is known as the domain and that set of course running outputs is

called the range with function works is it maps some point

in the domain at some point in the range so the blue line is representing the function let’s take a specific example let’s say we

had white balls export and that she was in our domain that our function will map too before which is in our range another way of representing miss possessing

or repair two four in general we have some function y equals

af of packs we would represent that point in our domain

with packs which keeps match the y by our function half so once again that blue line is representing

path path is the process of going from an element of the domain to an element

in the range and once again we can represent this within ordered pair now for multiple inputs in the domain we get multiple outputs in the rage in fact we could have multiple inputs in the

domain maps to a single output in the range and that still matches our definition of function

because each input does have a unique output where will see the definition of function

breakdown is if we havent input she separate helpless this is not me our definition of function

and that’s what we have now is no longer a function but if we remove that we have a mapping diagram that is in fact

function because it meets our definition of function which says that each input must have

a unique output this is just an example of how we can use

a mapping to represent a function