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Use the calculator to find the maximum and minimum points on the graph.
See solution.
We are given a model for the number of students (in thousands) enrolled in public schools. S=1.64x^3-102x^2+1710x+36 300 We are asked to use calculator to draw the graph of this model. We begin by pushing the Y= button and typing the equation of S in the first row.
To see the graph you will need to adjust the window. The given model is valid for 0≤ x≤ 41, so let's use these values as horizontal bounds. Push WINDOW, change the settings, and push GRAPH.
We can see that the graph is increasing, then decreasing, then increasing again.
To find the maximum point on the graph, push 2nd and TRACE and choose maximum
from the menu.
The calculator will prompt you to choose a left and right bound and to provide the calculator with a best guess of where the maximum might be.
You can find the minimum point similarly.
Let's interpret the result we get on the calculator screen.
The number of students enrolled in public schools is: