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Casio CFX-9970G Manual

14. implicit function graphs
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Chapter
14
Implicit Function Graphs
You can graph any one of the following types of implicit functions
using the calculator's built-in functions.
• Parabolic graph
• Circle graph
• Elliptical graph
• Hyperbolic graph
14-1 Before Graphing an Implicit Function
14-2 Graphing an Implicit Function
14-3 Implicit Function Graph Analysis

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Summary of Contents for Casio CFX-9970G

  • Page 1 Chapter Implicit Function Graphs You can graph any one of the following types of implicit functions using the calculator’s built-in functions. • Parabolic graph • Circle graph • Elliptical graph • Hyperbolic graph 14-1 Before Graphing an Implicit Function 14-2 Graphing an Implicit Function 14-3 Implicit Function Graph Analysis...

  • Page 2: Before Graphing An Implicit Function

    14-1 Before Graphing an Implicit Function k k k k k Entering the CONICS Mode 1. In the Main Menu, select the CONICS icon and enter the CONICS Mode. When you do, the following built in function menu appears on the screen. 2.

  • Page 3: Graphing An Implicit Function

    14-2 Graphing an Implicit Function Example 1 To graph the circle (X – 1) + (Y – 1) Use the following View Window parameters. Xmin = –6.3 Ymin = –3.1 Xmax = 6.3 Ymax = 3.1 Xscale = 1 Yscale = 1 1.
  • Page 4 14 - 2 Graphing an Implicit Function (X – 3) (Y – 1) Example 2 To graph the hyperbola –––––––––– – –––––––––– = 1 Use the following View Window parameters. Xmin = –8 Ymin = –10 Xmax = 12 Ymax = 10 Xscale = 1 Yscale = 1.
  • Page 5 14 - 2 Graphing an Implicit Function • Implicit function graphs can be drawn in blue only. • You cannot overwrite implicit function graphs. • The calculator automatically clears the screen before drawing a new implicit function graph. • You can use trace, scroll, zoom, or sketch after graphing an implicit function. However, an implicit function graph cannot be scrolled while using trace.
  • Page 6 14 - 2 Graphing an Implicit Function • A hyperbola is the locus of points related to two given points F and F’ such that the difference in distances of each point from the two given points is constant. Points F and F’ are the “foci,” points A and A’ where the hyperbola intersects the x-axis are the “vertexes,”...

  • Page 7: Implicit Function Graph Analysis

    14-3 Implicit Function Graph Analysis You can determine approximations of the following analytical results using implicit function graphs. • Focus/vertex calculation • Latus rectum calculation • Center/radius calculation • -intercept calculation • Directrix/axis of symmetry drawing and analysis • Asymptote drawing and analysis After graphing an implicit function, press 5 (G-Solv) to display the Graph Analysis Menu.
  • Page 8 14 - 3 Implicit Function Graph Analysis 5 (G-Solv) 1 (FOCS) (Calculates the focus.) 5 (G-Solv) 4 (VTX) (Calculates the vertex.) • When calculating two foci for an ellipse or hyperbolic graph, press e to calculate the second focus. Pressing d returns to the first focus. •...
  • Page 9 14 - 3 Implicit Function Graph Analysis 5 (G-Solv) 1 (CNTR) (Calculates the center.) 5 (G-Solv) 2 (RADS) (Calculates the radius.) u u u u u To calculate the - and -intercepts [G-Solv]-[X-IN]/[Y-IN] Example To determine the - and -intercepts for the hyperbola (X –...
  • Page 10 14 - 3 Implicit Function Graph Analysis u u u u u To draw and analyze the axis of symmetry and directrix [G-Solv]-[SYM]/[DIR] Example To draw the axis of symmetry and directrix for the parabola X = 2(Y – 1) Use the following View Window parameters.
  • Page 11 14 - 3 Implicit Function Graph Analysis • Certain View Window parameters can produce errors in values produced as graph analysis result. • The message ”Not Found” appears on the display when graph analysis is unable to produce a result. •...