Graphing

Please be aware that the lessons in the first part of the graphing section can be done in any order which is why they are not given as "day 1", "day 2", etc. Because the next section goes into quadratics in both vertex and intercept forms, you may want to either finish with quadratics in vertex form or be prepared to briefly review quadratics in vertext form in the next section.

Each of the lessons given on the following topics include domain, range, increasing, decreasing, max/min, etc as well as thoroughly (hopefully) exploring the effects of shifts and stretches. They also include inverses where appropriate (not absolute value or step) but only as a reflection across the line y = x. You may want to explore the algebraic methods of finding inverses more than is indicated in these lessons. There is also a sheet with blank tables of values on it to include that topic in your graphing lessons. (The above would cover the following four boxes on the outline for Topic 4 on Units 1-3.)

Absolute Value Functions Cube Root Functions Cubic Functions Piecewise Functions Quadratics Functions Square Root Functions Step Functions General form of f(x)