Answer:
option c, [tex](\frac{-1}{2})x^{4} -x^{3} +x +2[/tex].
Step-by-step explanation:
Given : graph.
To find : which of the functions below could have created this graph.
Solution : We see from the graph both end point are below
By the End Behavior of the function : if the degree of polynomial is even and leading coefficient is negative then the both end point of graph would be below.
We can see from option c , it has degree = 4 (even) and leading coefficient is negative.
Therefore, option c, [tex](\frac{-1}{2})x^{4} -x^{3} +x +2[/tex].
