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3-6 Analyzing a Function Used to Draw a Graph
Your ClassPad includes a G-Solve feature that lets you perform a variety of different analytical processes on an
existing graph.
What You Can Do Using the G-Solve Menu Commands
While there is a graph on the Graph window, you can use a [G-Solve] menu command to obtain the following
information.
x
•
-coordinate for a given
y
•
-coordinate for a given
-intercept) .................................................................................... Analysis - G-Solve - Root or Y
x
• Root (the
• Minimum value ................................................................................................ Analysis - G-Solve - Min or I
• Maximum value .............................................................................................. Analysis - G-Solve - Max or U
• Minimum value in the range displayed on the Graph window ................................. Analysis - G-Solve -
• Maximum value in the range displayed on the Graph window ............................... Analysis - G-Solve -
y
•
-intercept ...................................................................................................... Analysis - G-Solve -
• Point of intersection for two graphs .............................................................. Analysis - G-Solve - Intersection
• Integration value for a specified range ........................................................ Analysis - G-Solve - Integral - ∫
• Integration value between the two or more of the graph's roots .............. Analysis - G-Solve - Integral - Root
• Integration value between the two or
more intersections of two graphs ............................................. Analysis - G-Solve - Integral - Intersection
• Point of inflection ...............................................................................................Analysis - G-Solve - Inflection
• Distance between two points ............................................................................ Analysis - G-Solve - Distance
• Volume of a solid of revolution ......................................................................... Analysis - G-Solve - π ∫
Tip:
See "Graph Types and Executable Functions" (page 302) for information about graph types and executable G-Solve
functions.
Using G-Solve Menu Commands
When multiple solutions are obtained by a G-Solve command, only one solution is displayed at a time. For
example, executing [Analysis] - [G-Solve] - [Root] for a cubic function that has two roots will display only one
root at a time. In a case such as this, use the left and right cursor keys (or tap the left and right graph controller
arrows) to cycle between the available solutions.
u To obtain the root of a function
1. On the Graph Editor window, input and store a function, and then tap $ to graph it.
y
x
x
• Here, input
=
(
2. Tap [Analysis], [G-Solve], and then [Root], or tap Y.
• This displays "Root" on the Graph window, and locates a pointer at the first
solution of the root (root for smallest value of
at the current pointer location are also shown on the Graph window.
y
-coordinate .................................................Analysis - G-Solve -
x
-coordinate .................................................Analysis - G-Solve -
x
y
+ 2)(
– 2) into line
1.
x
). The
x
- and
y
-coordinates
Chapter 3: Graph & Table Application 114
x
y
x
-Cal/
-Cal -
-Cal
x
y
y
-Cal/
-Cal -
-Cal
f
Min
f
Max
y
-Intercept
dx
f
x
2
dx
(
)
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