Randy is taking his math SAT. To receive full credit, he must answer this question:

What key features are necessary—and how are the features used—to create the sketch of a polynomial function?

What is Randy's correct answer, so he receives full credit for the question? Explain in complete sentences.

Question

Randy is taking his math SAT. To receive full credit, he must answer this question: 

What key features are necessary—and how are the features used—to create the sketch of a polynomial function?

What is Randy's correct answer, so he receives full credit for the question? Explain in complete sentences.

anonymous · Answer

@zepdrix Do you think you can help?

anonymous · Answer

I know one key feature is to find the asymptotes.

zepdrix · Answer

No asymptotes in a polynomial function. :)

anonymous · Answer

Oh. Well then I don't know any key features :(

zepdrix · Answer

Hmm the degree of the polynomial is important.

Example: $\large\rm 4x^5+x-1$
The largest power of x is a 5, so this is an `odd polynomial`.
This will give us the `end behavior` of the function.
Odd polynomials have tails going separate ways.|dw:1451423539286:dw|