Casio fx-CG50 User manual

QUICK START GUIDE
fx-CG50
fx-CG50
Thestatusbarwilldisplaymessagesandcurrentstatuslikebatterylevel,anglemode,fractionresults,complex
mode,or input/output settings.
Thefunction keys allowyou to access the tab (soft key) menus that appear at the bottom ofthescreen.
Whenan (>) appears abovethe u key,selecting uwill offer more on-screen choices.
The pkeydisplayseverymodethecalculatorhas.To selectamode,press $Nto thedesirediconand
press lor pressthe numberor letterin theupper righthand cornerof the icon.
The d key operates like the back arrow on a web browser; it will take you back one screen
each time you select it. The d key will not take you to the icon menu.
The Lkeyactivates anyfunction displayed on or above the calculator buttons that is yellow. For
example, tofindthe square root of anumber, you would needtopress L,then s.L5givesyou access
to on-screen colorformatting.
The Okey will power the unit on. To turn the unit off, press L O.
The a key activates any function displayed on or above the calculator buttons
that is in red. For example, to type the letter A, press a,then f.
The l key executes operations. When data is entered, the l button must be
pressed to store the data.
Selectthedesired icon by highlightingit and pressing lor pressingthe numberor letterin
theupper right corner.

The following explains the meaning of each icon on the fx-CG50 icon menu
Icon Menu Name Description
RUN-MATRIX This icon menu is used for general computations, including
binary, octal, decimal, and hexadecimal functions and matrices.
STATISTICS This icon menu is used to perform single-variable (standard deviation) and paired variable (regression) statistical calculations, to perform tests, to analyze data and to draw statistical
graphs.
This icon menu lets you input text, math expressions, and other data in a notebook-like interface.
eACTIVITY Usethismodewhenyouwanttostoretext,formulas,orbuilt-inapplicationdatainafile.
SPREAD- This icon menu is used for creating spreadsheets.
SHEET
GRAPH Thisicon menuis usedtodraw, storeandcalculate information fromfunctions.
DYNAMIC
GRAPH Thisiconmenuisusedtostoregraphfunctionsandtodrawmultipleversionsofagraphby
changingthevaluesassignedtothevariablesinafunction.
This icon menu is used to store functions, to generate a numeric table of different solutions
TABLE asthevalues assigned tovariables inafunctionchange, andtodraw graphs.
RECURSION Thisiconmenuisusedtostorerecursionformulas,togenerateanumerictableofdifferent
solutions as the values assigned to variables in a function change, and to draw graphs.
CONIC
GRAPH Thisiconmenuisusedtographparabolas,circles,ellipses,andhyperbolas.Conicsectionscan
beinputtedasrectangularfunctions,polarcoordinates,orparametricfunctionsforgraphing.
This icon menu is used to solve linear equations with two through six unknowns,
EQUATION andhigh-orderequationsfrom2ndto6thdegree.
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The following explains the meaning of each icon on the fx-CG50 icon menu
Icon Menu Name Description
PROGRAM Thisiconmenuisusedtostoreprogramsintheprogramareaandtorunprograms.
FINANCIAL This icon menu is used to perform financial calculations
and to draw cash flow and other types of graphs.
This icon menu is used to control the optionally available EA-200 Data Analyzer. For information
E-CON4 aboutthis iconmenu,download theE-CON manualfromhttp://edu.casio.com.
LINK Thisiconmenuisusedtotransfermemorycontentsorback-updatatoanotherunitorPC.
MEMORY Thisiconisusedtomanagedatastoredinmemory.
This icon menu is used to initialize memory, adjust contrast, reset memory, and to manage
SYSTEM other system settings.
GEOMETRY Thisiconmenuallowsyoutodraw,analyzeandanimategeometricobjects.
PICTURE
PLOT
This icon menu allows you to plot points (that represent coordinates) on the screen
and then perform various analysis based on the plotted data.
3D GRAPH This iconmenuallows you todraw3-dimensional graphs.
CONVERSION
This icon menu indicates the “Metric Conversion' add-in application is installed.
To do conversions, go to the Run-Matrix icon and press i.
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RUN-MATRIX
Forbasiccalculations,likethosethatcanbedoneonascientificcalculator,usetheRun-Matrixmenu.FromtheMainMenu,pressLJJ.
Toselecthowcertaincommandsandresultswillbeinterpretedordisplayed,pressLp(SET UP).ForInput/ Output,selectMath fornaturaldisplayoffractions,
radicalsandotherexpressions.ForFrac Result,selectd/c forafractionresultasthedefaultorab/c foramixednumberasthedefault.ForAngle,selectDeg or
Rad fordegreesorradians.
Note: the status bar at the top of the screen displays the selection for some of these options.
1.Evaluate23
4
Press Lb(...) jc c4c+b5cEl. To see the result as a mixed number, press Lv(a--4).To see the result as a decimal,
press v.
5
+ .
6
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Press LsS18l. To see the result as a decimal, press v.
2. Simplify .
RUN-MATRIX
3.Add48and24.Then,divideby2.Finally,subtractfrom56.
The purposeof this example is to demonstrate the Ans key. Ans representsthe previous
answer. Press 48+24l.Then, press M2l. Ans appearsautomatically when anoperation symbol
is pressed. However, Ans has to be pressedfor the subtraction part. Press 56-Ln(Ans)l.
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GRAPH
Toconstructgraphs and usegraphicalanalysiscommands,usetheGraphmenu.FromtheMainMenu,press5.
The first screen is the function/relation editor. To selecthow certainresults willbe displayed, press Lp
(SET UP).ThesuggestedselectionsforCoord, Grid, Axes and Label are shown.Scrolldown to theseselections.
To makeachange, highlight the itemand usethefunctionbuttonthatappears directlybelowthedesiredtab.For
example, when Coord is highlighted, q(On) will turn coordinates on and w(Off) will turn coordinates off.
Press d to return to the editor.
TheMathClubplanstosellt-shirts.Previousexperiencesuggeststhatthenumberoft-shirtssolddependsontheprice.Agoodmodelforthenumbersold,
y,asafunctionoftheprice,x,isy=-2x+40.
1.Constructagraphofthisequation.
To construct a graph of this model, press n2f+40l.To select the view window, press Le(V-Window).Change the values for the window, as
shown, pressing l after each value. The values for Scale determines the location for the marks on the axes and the gridlines. Press d to
return to the editor.
To draw the graph, press u(DRAW). When a graph is displayed the + key can be used to zoom in, the - key to zoom out,
and$!BN to scroll.
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GRAPH
2. Howmanyshirtswouldbesoldatapriceof$12pert-shirt?
To trace on the graph, press Lq(Trace).Use $! to move the cursor. To select a specific value, type the value, in this case 12. A dialogue
box opens, press l. To mark a point and keep the coordinates on the display, press l a second time.
1. Thereisapricethatistoohigh,meaningnoshirtsaresold.Thispointoccursatthex-interceptofthegraph(wherey=0)andthevalueofxisarootof
theequation2x+40=0 .
To find the root, press Ly(G-Solv)q(ROOT). The result, $20, is shown at the bottom of the screen. To mark this intercept and keep
the coordinates on the display, press l a second time.
4. If 2x +40 shirts are sold at price, x, then the number of dollars collected for the sale is x(2x +40) or 2x2
+40x .
To graph this function, first, deselect the previous equation by pressing d, B so the cursor is on Y1, then press
q(SELECT)N. Note, the = sign is not highlighted. The cursor should now be on Y2. Press n2fs+40fl.
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GRAPH
To set up the view window, press Le(V-Window).Change the values for the window so that Ymax is 250 and Yscale is 50. Press d to return to the
editor. To draw the graph, press u(DRAW).
5.Computethenumberofdollars earned, ifeacht-shirtissoldat$12.
To compute the number of dollars earned if shirts are sold for $12, press Lq(Trace).Type the value, in this case 12. A dialogue box
opens, press l. The models predict that at a price of $12, 16 shirts will be sold for a total of $192.
6.Determinethepricethatwillgivethegreatestprofit.
To determine the price that is predicted to make the most money, press Ly(G-Solv)w(MAX). The results, $10 and $200, are shown at the bottom of the
screen.To markthepointand keepthecoordinateson thedisplay,pressl.
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GRAPH
7.Determinethepriceofeacht-shirtinordertocollect$150.
To determine the price of each t-shirt, in order to collect a total of $150, press IJ J(G-Solv) J () J(X-CAL)IJJ J J J. (The ()
symbol moves to the next page of commands.)
There is another point where y = 150. Use c to move to the next point. Press l to mark one or both of these points. $150 can be earned
by selling shirts at $5 or at $15.
8.FindtheintersectionoftheequationsinY1 and Y2.
Althoughit is notparticularlymeaningfulinthisexample,acommonproblemis to findtheintersectionpointof twographs.Pressdtoreturnto theeditor.Highlight
Y1 and press q(SELECT). Now, both graphs will be drawn. Press u(DRAW). To find the intersection points for the two graphs, press y(G-Solv) J(INTSECT). 38
shirtsare soldat thepriceof $1,foratotalof $38.(Thesegraphs alsointersectat (20,0)where no shirtsweresold.)
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TABLE
1.Construct atableofvaluesthatshowstheprice,numberofshirts,andtotaldollars usingincrementsof$0.50.
Toconstructtables,fromtheMainMenu,press7.Theequationsforthefunctionsappeariftheyhavebeenpreviouslyentered,includingthoseenteredinthe
Graphmenu.
To set the initial value, end value and the increment, press y(SET). Enter the values for Start, End and Step. Press lafter entering each value,
then press d. To display the table, press u(TABLE). Use N to scroll through the table.
Note:valuesinthex-columncanalsobechanged manually.Pressanyvaluedesired,then pressl.Here,thevalue of 3 was changed to 7.
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GRAPH-MODIFY
1.Explorehowthegraphofthefunctiony =Ax+B changesfordifferentvaluesofAandB.
From the Main Menu, press 5. Use q(SELECT) to deselect any functions and N to move to a new line; in this screen shot, it is Y3. Press r(TOOL)I
(BUILT-IN). WithY=Ax+B, highlighted, press q(SELECT).
To use a standard window, press LI (V-Window)I (STANDRD)d.
Press y(MODIFY). Agraph isdrawn based on values stored to A and B. Values for the variables are displayed inthe lower left portionof the screen.The active
valueismagenta,inthiscase,A.Press c toincreaseA bythevalueshown asStep.Press!todecreaseA. Alternately, press any number keystochange the
valueofA. Adialogue box opens displaying the new desiredvalue, then, pressl. Notice, theprevious graph isdrawn infaint yellow. UseNB to change thevalue
of adifferent variable or the value forStep.
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EQUATION
1. The equation 2x2+ 40x =150 was previously solved in the Graph menu. It can also be solved in the Equation menu by
transforming it to -2x2+ 40x -150 =0 .
Press pf(A). (It is not necessary to push a.) To solve polynomial equations, press w(POLY). Press q(2) for a second degree
polynomial.
Enterthe3coefficients,pressinglaftereachone.Note, equations must be in standardformto solve. To solve,pressq(SOLVE).Bothsolutionsare displayed.Note,
whensolutionsarenot rational,bothadecimalandan exact
solution are displayed. The third screenshot displays the solutions to .
2x2+ 40x 160 =0
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EQUATION
a + 4b - 5c = 23
2.Solvethesystem{ 3a + 7b + c = 32
2a -b + 6c = 5 .
TheEquationmenucanalsobe usedto solvelinearsystems.WithintheEquationmenu,pressLd(QUIT).
Press q(SIMUL), then w(3).
Enterall12values,pressinglaftereachone.Tosolvethissystem,pressq(SOLVE).
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1. Construct the graph of the conic section .
CONICS
From the Main Menu, press 9. Scroll down to the correct form and press l.
Enter thecorrectvalues. Note, theexponents inthedenominators, so A=2,ratherthan4.Also, notetheminussigns
in the numerator, so H = 3 and K = -1. Press l after each value. As before, press Le(V-Window)
to change the values for the window, then press d. To draw the graph, press u(DRAW).
2.Findtheasymptotesfortheconicgraph.
To draw the asymptotes,press Ly(G-Solv)y(ASYMPT).The slope for each line is also displayed.
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CONICS
3.Findandlabeltheverticesandfocifortheconicgraph.
To findthecoordinatesof thevertices, pressLy(G-Solv)r(VERTEX).To findthecoordinatesof thefoci,pressLy(G-Solv)q(FOCUS). In eachcase, press$to
moveto thesecondpoint. To markpointsand labelthecoordinates on thedisplay,pressl.
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STATISTICS
1. Suppose one of the questions asked on a survey was “What type of pet do you have?”, and the results from 50 people are showninthistable.Construct
apiechartandabarchartofthesedata.
Pet Category
Dog Cat Fish Bird Other None
Frequency
14 12 9 6 4 5
From the Main Menu, press 2. The list editor opens. Enter the values in the table in List 1, pressing l after each value.
To construct agraph, press q(GRAPH). Then, press u(SET). Scroll to Graph Type and select r(Pie).
If necessary, scroll to Data and change to List1. Display can be used to select percentages or counts with the chart. Press d and q(GRAPH1). The color
and shading of plots can be changed by using L5(FORMAT).
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STATISTICS
To change to a bar chart, press du(SET)Nu () e(Bar). Press dq(GRAPH1) to view the bar chart. To display the frequencies,
press Lq(Trace).
2.Thenumberofgameswon(outof162)byacertainbaseballteamfortheyears2002–2013areshowninthetable.Constructahistogramanda
boxplotforthesedata.
67 88 89 79 66 85
97 83 75 71 61 66
Enter these data in the list editor. To set StatGraph1 to a histogram, press q(GRAPH) and u(SET). For Graph
Type, select q(Hist).
Press dq(GRAPH1). Select Start and Width values to determine the rectangles that will be plotted. Press q(1-VAR)
to see the statistical analysis of the data.
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STATISTICS
Press u(DRAW) to return to the plot.To display the frequencies,press Lq(Trace).
To change to a box-and-whisker plot (boxplot or median box plot), press du(SET). Scroll to Graph Type and press
w(MedBox). Press dq(GRAPH1). To display the minimum, maximum, and quartiles, press Lq(Trace).Use $ to display
the next value.
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RECURSION
1.Suppose$100.00isdepositedintoasavingsaccountwithaninterestrateof4%compoundedquarterly.Howmuchisintheaccountforeachofthefirst8
quarters?
Becausethisis adiscretemodel,it canbe modeledas asequence.Althoughthemenu saysRecursion,it canbe used forbothexplicit andrecursivesequences.
From the Main Menu, press 8 to open the sequence editor. If the type is not an, press e(TYPE)q(an). The account pays 1% per quarter so enter the formula as
shown, using q(n) forn.Pressl.
To create a table of values, press y(SET). Select Start and End values and press l after entering each value. To display the table, press d
u(TABLE).
This sequence can also be viewed as a graph. Before plotting the graph, set a window by pressing Le (V-Window).Press d. To see the graph,
press u(GPH-PLT). To trace on the graph, press Lq(Trace).
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RECURSION
Thesequencecanalsobe createdasarecursiveformula.ReturntotheeditorusingLd(QUIT).Tochange
the type, press e(TYPE)w(an+1)and edit the equation. To insert an, press w(an)then l. To specify the initial value, press y(SET). For a0, enter
100l.
Toseethetable,pressdu(TABLE).Toviewagraph,pressu(GPH-PLT).
2.Howlongwillittakefortheaccounttodoublein valueto$200.00?
One good wayto answer this question is to returnto theEquation menu. Presspf(A).To entertheequa-
tion, press e(SOLVER). If e(SOLVER) is not an option, press d until it is. To insert the =, press L.(=).
Oncetheequationisentered,presslor u(SOLVE).Itwilltake70 quartersor 171yearsfortheinvestmentto 2
double.
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