Casio fx-9750G 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
14-4 Implicit Function Graphing Precautions
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Summary of Contents for Casio fx-9750G
- 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 14-4 Implicit Function Graphing Precautions...
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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 • Certain View Window parameters can make a circle graph come out looking like an ellipse. When this happens, you can use the graph correction function (SQR) P.155 to make corrections and produce a perfect circle. (X –...
- Page 5 14 - 2 Graphing an Implicit Function • A parabola is the locus of points equidistant from fixed line and fixed point F not on the line. Fixed point F is the “focus,” fixed line is the “directrix,” the horizontal line that passes through the focus directrix is the “axis of symmetry,” the length of a straight line that intersects the parabola, passes through the locus, and is parallel to fixed line is the “latus rectum,”...
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Page 6: 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 7 14 - 3 Implicit Function Graph Analysis u u u u u To calculate the focus and vertex Example To determine the focus and vertex for the parabola X = (Y – 2) + 3. Use the following View Window parameters. Xmin = –1 Ymin...
- Page 8 14 - 3 Implicit Function Graph Analysis 5 (LEN) (Calculates the latus rectum.) u u u u u To calculate the center and radius Example To determine the center and radius for the circle X – 2X – 2Y – 3 = 0 Use the following View Window parameters.
- Page 9 14 - 3 Implicit Function Graph Analysis u u u u u To calculate the - and -intercepts Example To determine the - and -intercepts for the hyperbola (X – 1) (Y – 1) –––––––––– – –––––––––– = 1 Use the following View Window parameters. Xmin = –6.3 Ymin...
- Page 10 14 - 3 Implicit Function Graph Analysis 2 (SYM) (Draws the axis of symmetry.) 5 (G-Solv) 4 5 6 3 (DIR) (Draws the axis of directrix.) u u u u u To draw and analyze the asymptotes Example To draw the asymptotes for the hyperbola (X –...
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Page 11: Implicit Function Graphing Precautions
14-4 Implicit Function Graphing Precautions • Assigning the following types of values to variables contained in built-in function produces an error. (1) Parabola graph A = 0 (2) Circle graph R = 0 for (X – H) + (Y – K) A = 0 for AX + AY + BX + CY + D = 0...