2 Relations and Functions Woohoo!!! Chapter 5 Section 2Relations and FunctionsWoohoo!!!
3 Some key terms Relation- a set of ordered pairs Domain- the set of first coordinates, the x’sRange- the set of second coordinates, the y’s
4 FunctionsFunction- a function is a relation in which each member of the domain is paired with exactly one member of the rangeIn other words… you can not have a domain (x value) repeat itselfVertical Line Test- If any vertical line passes through no more than one point of the graph of a relation then the relation is a function
5 How to tell if it is a function Since each element of the domain is paired with exactly one element of the range this is a function. Also, notice no x values are repeated
6 How to tell if it is a function This is called a mapping. It shows the relation between each x and y valueIt does not matter that the y values are shared as long as the x value is not repeated or shared this is a functionX235Y3
7 Functional notation An equation looks like this y = 3x + 5This same equation written in functional notation looks like thisf(x) = 3x + 5We simply replace y with f(x)