We started the process of graphing in the previous
chapter. However, since the main focus
of that chapter was functions we didn’t graph all that many equations or
functions. In this chapter we will now
look at graphing a wide variety of equations and functions.
Here is a listing of the topics that we’ll be looking at in
this chapter.
Lines, Circles and Piecewise Functions This section is here only to acknowledge that
we’ve already talked about graphing these in a previous chapter.
Parabolas
We’ll be graphing parabolas in this section.
Ellipses
In this section we will graph ellipses.
Hyperbolas Here we will be graphing hyperbolas.
Miscellaneous Functions In this section we will graph a couple of
common functions that don’t really take all that much work to do. We’ll be looking at the constant function,
square root, absolute value and a simple cubic function.
Transformations We will be looking at shifts and reflections
of graphs in this section. Collectively
these are often called transformations.
Symmetry
We will briefly discuss the topic of symmetry
in this section.
Rational Functions In this section we will graph some rational
functions. We will also be taking a look
at vertical and horizontal asymptotes.