Question

Which expression is a possible leading term for the polynomial function graphed below?

Answer 1

Answer:

$22x^{9}$ represent the given graph

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 positive then left end is down and right end is up.

We can see from the given option $22x^{9}$

It has degree = 9 (odd )

Leading coefficient  = 22 ( positive ).

Therefore, $22x^{9}$ represent the given graph.

Answer 2

Answer:

D, 22x^9

Step-by-step explanation:

Here's a key for end behavior: Look at the leading term

x^even = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> pos inf

-x^even = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> neg inf

x^odd = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> pos inf

-x^odd = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> neg inf