Continuity

= __**What is Continuity?**__ = = = == = These graphs are all considered continuous becasue they do not have any breaks, jumps, or holes. Equations would include y=x y=cos(x) and y=e^x+2 =
 * =** Continuity is when there are no gaps or jumps holes or breaks in a function. it is also known as continuous. You should be able to draw the function with out picking up your been if it is continuous. When the function has a break, gap, hole, vertical or horizontal asympote or is a piece-wise function they are NOT continuous. **=
 * Ex.) **

=__ Continuity of a function at a certain number __=
 * = For a a function to be continuous at a certain number there are three conditions that must be meet for the function to be continuous at that number. =
 * 1) the function must have a derivative at that number.
 * 2) the limit of the function, going toward that number must exist.
 * 3) the limit if the function going toward the number must equal the derivative at that number.