Answer:
Odd degrees of 5 or greater
Step-by-step explanation:
By the given diagram,
The end behavior of the function is,
[tex]f( x )\rightarrow -\infty \text{ , as }x\rightarrow -\infty[/tex],
[tex]f( x )\rightarrow +\infty\text{ , as }x\rightarrow +\infty[/tex]
Which is the end behavior of a function has odd degree and positive leading coefficient,
So, the function must have odd degree.
Now, Again by the given graph,
The function has five x-intercepts,
Therefore, The function has at least five solutions,
⇒ The degree of the function is 5 or more than 5,
Hence, the function has Odd degrees of 5 or greater
⇒ Last option is correct.
