Algebra II.1.B.17 - Modeling with Polynomials—An Introduction – Exit Ticket

Last updated over 4 years ago

5 questions

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 1, Topic B, Lesson 17. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.

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Algebra II.1.B.17 - Modeling with Polynomials—An Introduction – Exit Ticket

Last updated over 4 years ago

5 questions

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

Question 1

What are the zeros of the function V?

Question 2

What is the relative maximum value of V, and where does it occur?

Question 3

The equation of this function is V(r) = c(r3 − 72.25r) for some real number c. Find the value of c so that this formula fits the graph.

Question 4

Use the graph to estimate the volume of the cylinder with r = 2 cm.

Question 5

Use your formula for V to find the volume of the cylinder when r = 2 cm. How close is the value from the formula to the value on the graph?

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