The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function
that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive?
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Question

Quizplus · Accepted Answer

(i) The graph has at least 3 turning points, so the minimum degree of a polynomial that could have the graph is 4. 
(ii) The graph opens downward on both ends, indicating that the leading coefficient is negative. A polynomial function of even degree with a negative leading coefficient will have this type of end behavior.

The Graph That Follows Is the Graph of a Polynomial