Question

PLEASE HELP!!!!

Christi is doing her math homework. To receive full credit, she 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 Christi's correct answer, so she receives full credit for the question? Explain in complete sentences.

Answer 1

Hey

Answer 2

In general, you should first check for any holes in the graph by checking what x values return an undefined f(x). Then solve for the vertical asymptote and horizontal asympotote. Remember that the line will approach but not intersect the asymptotes, so draw your function with the asymptotes as guides. Then solve for the x intercepts and the y intercept. Begin at the x intercepts (if there are any. If there are no x intercepts, that means that the horizontal asymptote was probably at y=0 and the line only approaches the x intercept) and sketch the line with the asymptotes as "guides".