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Analyzing a Function Used to Draw a Graph

(2)On the Graph Editor window, input and store y1 = x3 – 1 into line y1, and then tap  to graph it.

Make sure that only “y1” is selected (checked).(3)Tap [Analysis], [G-Solve], and then [Inflection].

This causes “Inflection” to appear on the Graph window, with a pointer located at the point of inflection.

Tip

If your function has multiple inflection points, use the cursor button or graph controller arrows to move the pointer between them and display their coordinates.

STo obtain the volume of a solid of revolution

Example: To graph the function y = x2 x – 2 and obtain the volume of a solid of revolution as the line segment from x = 1 to x = 2 is rotated on the x-axis

(1) Display the View Window dialog box, and then configure it with the following parameters.

xmin = –7.7,

xmax = 7.7,

xscale = 1

ymin = –3.8,

ymax = 3.8,

yscale = 1

(2)On the Graph Editor window, input and store y = x2 x – 2 into line y1, and then tap  to graph it.

Make sure that only y1 is checked.

(3)Tap [Analysis], [G-Solve], and then [π ° ( f(x))2dx].

This displays a crosshair pointer on the graph, and the word “Lower” in the lower right corner of the Graph window.

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