Summary
Summarize the section in two or three sentences.
While calculators are a great boon to us, it's still possible to rely too heavily on them, and to fail to rely on ourselves and our own understanding. For example, calculus gives us an idea of where the interesting behavior of a function is occurring, which indicates a domain and a range wherein a nice graphical representation can be obtained.
Sometimes a function cannot be well represented on a single graph (for example, there may be two different ranges in which the function operates, and it may not be possible to see both at the same time (for example, how could you have a picture of the whole oak tree and the acorns on the branches?).
One thing this section introduces is a study of a function containing a parameter. We look at a function that includes an unspecified constant c, e.g. Example 5, where
and analyze how the function's graph changes as c changes.
Problems:
Problems, pp. 276-277, #1, 8, 10, 24