The graph does not show a polynomial function because it has a discontinuity between x = 1 and x = 2. Any polynomial function is continuous everywhere.

Mar 29th, 2015

Do you have any questions about this problem? What is the reason that you are not satisfied with the anwer?

The graph cannot represent a polynomial function because it has a discontinuity. Any polynomial function is continuous everywhere. I suggest that you try to contact your instructor and explain your answer. Maybe the problem is with the computer.

The function on your picture may be piecewise polynomial, that is, f(x) = P(x) for x< a ~ 1.7; f(x) = Q(x) for x>=a, where P and Q are two different polynomials.