Which expression is a possible leading term for the polynomial function graphed below?
–18x^14
–10x^7
17x^12
22x^9

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
Answer:
[tex]22x^{9}[/tex] 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 [tex]22x^{9}[/tex]
It has degree = 9 (odd )
Leading coefficient = 22 ( positive ).
Therefore, [tex]22x^{9}[/tex] represent the given graph.