Question

What is the end behavior of the polynomial function?

Answer 1

Answer:

Polynomial function has odd degree and leading coefficient is negative.

Step-by-step explanation:

Given graph :  polynomial function graphed .

To find : Which expression is a possible leading term for the polynomial function .

Solution : We have given that

Graph with left end down and right end up.

By the end point behavior : If the degree of polynomial function is odd and

leading coefficient is negative then left end is up and right end is down.

We can see from the given option

it is f(x) → +∞, as x → −∞

f(x) → −∞, as x → +∞

Therefore,  Polynomial function has odd degree and leading coefficient is negative.

Answer 2

As x approaches infinity, y approaches negative infinity
As x approaches negative infinity, y approaches infinity