What are the possible degrees for the polynomial function? degrees of 4 or greater even degrees of 4 or greater degrees of 5 or greater odd degrees of 5 or greater

Question

asked Sep 17, 2019 187k views

2 Answers

Divieira · Answer 1 · 2019-09-23T13:10:33+0000

Answer:

Odd degrees of 5 or greater

Explanation:

By the given diagram,

The end behavior of the function is,

$f( x )\rightarrow -\infty \text{ , as }x\rightarrow -\infty$ ,

$f( x )\rightarrow +\infty\text{ , as }x\rightarrow +\infty$

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.