Piecewise functions are strange because they are written in a very specific notation. They look something like this:
y = 2x + 1, x > 3
-x - 1, x <= 3
Basically, piecewise functions contain two functions that are on the same coordinate plane. The first part of the function gives the equation graphed, and the second part of the equation (with the greater than or less than) tells you where to put an asymptote on the graph. The number at the end will always be the same number because it tells where the asymptote is.
Here are three easy steps for graphing piecewise functions:
1) Graph both equations on a coordinate plane
2) Graph the asymptote, and determine which equation goes on which side of the asymptote
3) Re-graph the equation, with one line on one side of the asymptote and the other equation on the other side of the asymptote
No comments:
Post a Comment