Casio CFX-9850G PLUS Graphing Manual

Casio CFX-9850G PLUS Graphing Manual

8. graphing
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Graphing
A collection of versatile graphing tools plus a large 127 × 63-dot
display makes it easy to draw a variety of function graphs quickly
and easily. This calculator is capable of drawing the following
types of graphs.
• Rectangular coordinate (Y =) graphs
• Polar coordinate (
• Parametric graphs
• X = constant graphs
• Inequality graphs
• Integration graphs (in the RUN mode only)
A selection of graph commands also makes it possible to incor-
porate graphing into programs.
8-1
Before Trying to Draw a Graph
8-2
View Window (V-Window) Settings
8-3
Graph Function Operations
8-4
Graph Memory
8-5
Drawing Graphs Manually
8-6
Other Graphing Functions
8-7
Picture Memory
8-8
Graph Background
Chapter
r
=) graphs
8

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Summary of Contents for Casio CFX-9850G PLUS

  • Page 1 Chapter Graphing A collection of versatile graphing tools plus a large 127 × 63-dot display makes it easy to draw a variety of function graphs quickly and easily. This calculator is capable of drawing the following types of graphs. • Rectangular coordinate (Y =) graphs •...
  • Page 2: Before Trying To Draw A Graph

    8-1 Before Trying to Draw a Graph k k k k k Entering the Graph Mode On the Main Menu, select the GRAPH icon and enter the GRAPH Mode. When you do, the Graph Function menu appears on the display. You can use this menu to store, edit, and recall functions and to draw their graphs.
  • Page 3 8-2 View Window (V-Window) Settings Use the View Window to specify the range of the -and -axes, and to set the spacing between the increments on each axis. You should always set the View Window parameters you want to use before drawing a graph. 1.
  • Page 4 8 - 2 View Window (V-Window) Settings The nearby illustration shows the meaning , θ ) or of each of these parameters. pitch ( X, Y ) 3. To exit the View Window, press J or ! Q. • Pressing w without inputting any value also exits the View Window. •...
  • Page 5 8 - 2 View Window (V-Window) Settings k k k k k Initializing and Standardizing the View Window u u u u u To initialize the View Window You can use either of the following two methods to initialize the View Window. Normal initialization Press !3 (V-Window) 1 (INIT) to initialize the View Window to the following settings.
  • Page 6 8 - 2 View Window (V-Window) Settings k k k k k View Window Memory You can store up to six sets of View Window settings in View Window memory for recall when you need them. u u u u u To store View Window settings Inputting View Window values and then pressing 4 (STO) 1 (V·W1) stores the View Window contents in View Window memory V·W1.
  • Page 7: Graph Function Operations

    8-3 Graph Function Operations You can store up to 20 functions in memory. Functions in memory can be edited, recalled, and graphed. k k k k k Specifying the Graph Type Before you can store a graph function in memory, you must first specify its graph type.
  • Page 8 8 - 3 Graph Function Operations u u u u u To store a parametric function Example To store the following functions in memory areas Xt3 and Yt3 : = 3 sin T = 3 cos T 3(TYPE)3(Parm) (Specifies parametric expression.) dsvw(Inputs and stores expression.) dcvw(Inputs and stores...
  • Page 9 8 - 3 Graph Function Operations k k k k k Editing Functions in Memory u u u u u To edit a function in memory Example To change the expression in memory area Y1 from – 5 – 3 e (Displays cursor.) eeeed(Changes contents.) w(Stores new graph function.)
  • Page 10 8 - 3 Graph Function Operations u u u u u To specify the draw/non-draw status of a graph Example To select the following functions for drawing : – 5 r2 = 5 sin3 θ Y1 = 2 Use the following View Window parameters. Xmin = –5 Ymin...
  • Page 11 8 - 3 Graph Function Operations • You can use the set up screen settings to alter the appearance of the graph screen as shown below. • Grid: On (Axes: On Label: Off) This setting causes dots to appear at the grid intersects on the display. •...
  • Page 12: Graph Memory

    8 - 3 Graph Function Operations 8-4 Graph Memory Graph memory lets you store up to six sets of graph function data and recall it later when you need it. A single save operation saves the following data in graph memory. •...
  • Page 13: Drawing Graphs Manually

    8-5 Drawing Graphs Manually After you select the RUN icon in the Main Menu and enter the RUN Mode, you can draw graphs manually. First press ! 4 (Sketch) 5 (GRPH) to recall the Graph Command Menu, and then input the graph function. •...
  • Page 14 8 - 5 Drawing Graphs Manually u u u u u To graph using polar coordinates ( [Sketch]-[GRPH]-[r=] ( θ ). You can graph functions that can be expressed in the format = 2 sin3 θ Example To graph Use the following View Window parameters. T, θ...
  • Page 15 8 - 5 Drawing Graphs Manually u u u u u To graph parametric functions [Sketch]-[GRPH]-[Parm] You can graph parametric functions that can be expressed in the following format. (X, Y) = ( (T), (T)) Example To graph the following parametric functions: = 7 cos T –...
  • Page 16 8 - 5 Drawing Graphs Manually 2. Input the expression. !4(Sketch)1(Cls)w 5(GRPH)4(X = c)d 3. Press w to draw the graph. ≥ ≤ u u u u u To graph inequalities [Sketch]-[GRPH]-[Y>]/[Y<]/[Y ]/[Y You can graph inequalities that can be expressed in the following four formats. >...
  • Page 17 8 - 5 Drawing Graphs Manually u u u u u To draw an integration graph [Sketch]-[GRPH]-[G∫dx] You can graph an integration calculation performed using the function Example To graph the following, with a tolerance of “tol” = 1 - 4: ∫...
  • Page 18: Other Graphing Functions

    8-6 Other Graphing Functions The functions described in this section tell you how to read the - and -coordi- nates at a given point, and how to zoom in and zoom out on a graph. • These functions can be used with rectangular coordinate, polar coordinate, parametric, X = constant, and inequality graphs only.
  • Page 19 8 - 6 Other Graphing Functions 1. After drawing the graphs, press 1 (Trace) to display the pointer in the center of the graph. • The pointer may not be visible on the graph when you press 1 (Trace). 2. Use d to move the pointer to the first intersection. coordinate values •...
  • Page 20 8 - 6 Other Graphing Functions • The following shows how the display of coordinates and the derivative changes according to the Graph Type setting. • Rectangular Coordinate Graph • Polar Coordinate Graph • Parametric Function Graph • X = Constant Graph •...
  • Page 21 8 - 6 Other Graphing Functions k k k k k Graphing in a Specific Range You can use the following syntax when inputting a graph to specify a start point and end point. <function> , ! [ <start point> , <end point> ! ] w –...
  • Page 22 8 - 6 Other Graphing Functions 6(DRAW) (Draws graph.) ↓ ↓ • The function that is input using the above syntax can have only one variable. , θ , or T as the variable name. • You cannot use X, Y, •...
  • Page 23 8 - 6 Other Graphing Functions u u u u u To use box zoom [Zoom]-[BOX] With box zoom, you draw a box on the display to specify a portion of the graph, and then enlarge the contents of the box. Example To use box zoom to enlarge a portion of the graph + 5)
  • Page 24 8 - 6 Other Graphing Functions • To return to the original graph, press 2 (Zoom) 6 (g) 1 (ORIG). • Nothing happens if you try to locate the second corner at the same location or directly above the first corner. •...
  • Page 25 8 - 6 Other Graphing Functions 4. Press J to return to the graphs, and then press 3 (IN) to enlarge them. This enlarged screen makes it clear that the graphs of the two expressions are not tangential. Note that the above procedure can also be used to reduce the size of a graph (zoom out).
  • Page 26 8 - 6 Other Graphing Functions k k k k k Graph Range Adjustment Function [Zoom]-[SQR] This function makes the View Window -range value the same as the -range value. It is helpful when drawing circular graphs. = 5sin θ and then adjust the graph. Example To graph Use the following View Window parameters.
  • Page 27 8 - 6 Other Graphing Functions 2. Press 2 (Zoom) 6 (g). 3. Press 3 (RND) and then 1 (Trace). Use d to move the pointer to the other intersection. The rounded coordinate values for the pointer position appear on the screen. k k k k k Integer Function [Zoom]-[INTG] This function makes the dot width equal 1, converts axis values to integers, and...
  • Page 28 8 - 6 Other Graphing Functions k k k k k Notes on the Auto View Window, Graph Range Adjustment, Coordinate Rounding, Integer, and Zoom Functions • These functions can be used with all graphs. • These functions cannot be incorporated into programs. •...
  • Page 29: Picture Memory

    8-7 Picture Memory You can save up to six graphic image in picture memory for later recall. You can overdraw the graph on the screen with another graph stored in picture memory. u u u u u To store a graph in picture memory Pressing K1(PICT)1(STO)1(Pic1) stores the graph drawn on the display in picture memory Pic1.
  • Page 30: Graph Background

    8-8 Graph Background You can use the set up screen to specify the memory contents of any picture memory area (Pict 1 through Pict 6) as the Background item. When you do, the contents of the corresponding memory area is used as the background of the graph screen.
  • Page 31 8 - 8 Graph Background Example 2 With a statistical histogram as the background, graph a normal distribution Recall the backgound graph. (Histogram) Graph the normal distribution. P.249 • See “18. Statistical Graphs and Calculations” for details on drawing a statistical graphs.

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