Question

What is the end behavior of the following Polynomial ? P(x)=-3x^4+3x-2 *

O (up,down)
O (Down, Down)
O (Up,UP)

Answer 1

up, down

Explanation:

`p(x) = - 3 {x}^(4) + 3x - 2`

It is an even-degree polynomial. Therefore, the start of domain is the opposite the end of domain.

Meaning if the graph starts by decreasing, the graph will end by increasing.

Because the coefficient of highest degree is in negative. Therefore, the graph starts from negative infinity, increasing. The graph will end in positive infinity but decreasing.

Therefore, the answer is first choice.