Rational Functions Vocab

A graph that has no jumps, breaks, or holes

Graph that has a jump, break, or hole.

A break in the graph of f where you cannot redefine f to make the graph continuous.

A point of discontinuity is the x coordinate of a point where the graph f(x) is not continuous. This occurs when the x value of the denominator of the fraction in a function is such that the denominator = 0.

Function that can be written as f(x) = p(x)/q(x), where p(x) and q(x) are polynominal functions. Domain is all real numbers exept those for which q(x) = 0

Removeable discontinuity is a point of discontinuity a, of a function f, that you can remove by redefining f at x = a. Doing so fills in a hole in the graph with (a,f(a)).