Algebra II.1.B.16 - Modeling with Polynomials—An Introduction – Exit Ticket

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Jeannie wishes to construct a cylinder closed at both ends. The figure below shows the graph of a cubic polynomial function used to model the volume of the cylinder as a function of the radius if the cylinder is constructed using 150

What is the domain of the volume function? Explain.

What is the most volume that Jeannie’s cylinder can enclose?

What radius yields the maximum volume?

Solve the problem below.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 1, Topic B, Lesson 16. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.