1.2 Functions and Graphs

Domain – all of the x-coordinates of a graph

Range – all of the y-coordinates of a graph Notation

◦ Interval notation◦ Set Notation

Proper use of brackets & parentheses

Domain and Range

A function is even if f(-x) = f(x)◦Ex: f(x) = x2

◦ Also look at graph◦ Symmetric about y-axis

A function is odd if f(-x) = -f(x)◦Ex: f(x) = x3

◦ Symmetric about origin

Even/Odd Functions

Two functions with restricted domains that create a new graph.◦ Ex:

Piecewise Functions

0 ,

0 ,)(

xx

xxxf

Doing multiple operations with multiple functions.◦Ex.: If g(x) = x2 and f(x) = x – 7, then what is

f(g(2))?

Composite Functions