1. Consider the given graph.

a. Write a possible function for this graph. (You can write your function in any form that you like, but

of course you must show work for whatever form you put it into. Also, please note that we're given

numbers only on the horizontal scale, not the vertical scale. So we can't assume that one box in the

vertical direction covers the same number of units as on the horizontal scale.)

f(x)=

b. What is the degree of the polynomial that you wrote in part a?.

c. What other possible degrees of polynomial could this graph be for?

d. How many turning points does the given graph contain?

e. Consider all possible polynomials that have same degree as your answer for part a. What are the

possible numbers of turning points in their graphs?