For this case we have the following function:
[tex] f (x) = x ^ 4 - 2x ^ 3 - 9x ^ 2 + 2x + 8
[/tex]
We can rewrite the function as follows:
[tex] f (x) = (x-4) (x-1) (x + 1) (x + 2)
[/tex]
Therefore, the cut points of the function with the x axis are given by:
[tex] x = 4
x = 1
x = -1
x = -2
[/tex]
We observe then that the following graph corresponds to the given function. (See attached image)
Answer:
See attached image
