Question

Which of the functions below could have created this graph?

Answer 1

You were right it was C

Answer 2

Answer:

option c, $(\frac{-1}{2})x^{4} -x^{3} +x +2$.

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, $(\frac{-1}{2})x^{4} -x^{3} +x +2$.