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MaRussiya [10]
3 years ago
9

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 featu

res used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0
- Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.
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