Question

Which of the functions below could have created this graph?

Answer 1

You were right it was C

Answer 2

option c,
`((-1)/(2))x^(4) -x^(3) +x +2`.

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,
`((-1)/(2))x^(4) -x^(3) +x +2`.