Question

Molly is on a game show. To win $1,000,000, 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 Molly's winning answer? Explain in complete sentences

Answer 1

A polynomial equation is like ax^3 + bx^2 + c = 0
Significant features include how it behaves for x<<0 and x>>0,
large negative and positive values of x, and how many zeroes it has, which is how many times it crosses the x axis (y=0) and where the zeroes are. The degree of the polynomial is the largest exponent, here 3, and this tells you that there are up to 3 unique zeroes.

Answer 2

thank you