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.................................................

Analysis - G-Solve - x-Cal/y-Cal - x-Cal

• y-coordinate for a given x-coordinate.................................................

Analysis - G-Solve - x-Cal/y-Cal - y-Cal
• Root (the x-intercept) ....................................................................................Analysis - G-Solve - Root or Y

• 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 - f Min

• Maximum value in the range displayed on the Graph window...............................

Analysis - G-Solve - f Max
• y-intercept ......................................................................................................Analysis - G-Solve - y-Intercept

• Point of intersection for two graphs..............................................................

Analysis - G-Solve - Intersection

• Integration value for a specified range........................................................

Analysis - G-Solve - Integral - ∫dx
• 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 ∫ f(x)2dx

Tip: See “Graph Types and Executable Functions” (page 266) 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.

uTo obtain the root of a function

1.On the Graph Editor window, input and store a function, and then tap $ to graph it.

•Here, input y = x(x + 2)(x – 2) into line y1.2.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 x). The x- and y-coordinates at the current pointer location are also shown on the Graph window.

Chapter 3: Graph & Table Application

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