2.2 Graphs of Functions

Graph

If f is a function with domain A, then the _______ of f is the set of ordered pairs {(x,f(x)) | x ∈ A} plotted in a coordinate plane.

Linear function

f(x) = mx+b

Constant function

f(x) = b

Piecewise defined function

A(n) ___________ is defined by different formulas on different parts of its domain

Greatest integer function

The ____________ is defined by ⌊x⌋ (greatest integer less than or equal to x)

Continuous

A function is called _________ if its graph has no breaks or holes

Vertical line test

A curve in the coordinate plane is the graph of a function iff no vertical line intersects the curve more than once.