This light exercise is to get your
students thinking about polynomial graph behavior. You could extend
this exercise to guess they degrees and signs of the leading
coefficients if desired. Simply print out a worksheet of all the
letters of the alphabet and ask your students which letters are
graphs of polynomials based on the following distinctions

- Polynomial graphs are continuous. You can draw them without lifting your pen
- Polynomial graphs have no sharp corners or cusps, they are smooth (see pic below).

(From www.mathisfun.com) |

See mathisfun.com for a great tutorial and pics.

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