Algebra II.1.B.17 - Modeling with Polynomials—An Introduction – Exit Ticket
By Formative Library
starstarstarstarstarstarstarstarstarstar
Last updated almost 3 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
10
1.
What are the zeros of the function V?
What are the zeros of the function V?
10
2.
What is the relative maximum value of V, and where does it occur?
What is the relative maximum value of V, and where does it occur?
10
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.
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.
10
4.
Use the graph to estimate the volume of the cylinder with r = 2 cm.
Use the graph to estimate the volume of the cylinder with r = 2 cm.
10
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?
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?
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.