Texas Instruments TINSPIRECX Graphs & Geometry Two Views, Graphing Functions, Graphing View

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First Steps with TI-Nspire

Tutorial 4: Graphing

Tutorial 4

Graphing

The Graphs and Geometry applications are probably the most visually exciting of the TI-Nspire applications. This tutorial introduces the Graphs application and then concentrates on its use for graphing and exploring functions. The application’s use for creating and exploring geometrical shapes is covered in Tutorial 5.

Graphs & Geometry: Two Views

Start by opening the document FirstSteps4 that you created in Tutorial 3. Press c then select to create a new page with the Graphs application. You should see the Graphing View, with the coordinate axes defined by the default window settings and an entry line at the bottom of the screen.

A Graphing page can be turned into a Plane Geometry page by pressing b2 to open the View menu and 2 to choose the Plane Geometry View. This view has no entry line or axes and is ideal for drawing geometrical shapes. Tutorial 5 will explore this aspect of the Graphs & Geometry application.

Return to the View menu and notice that several options are now grey, indicating that they are not available in this view. Choose b21 to return to the Graphing View.

Graphing Functions

 

Alongside f1(x)= enter 0.2x2–3

 

(0^2Xq-3) to see the screen shown here.

 

Notice the label that appears alongside the function’s graph

 

and the way the entry line has now disappeared.

 

In Tutorial 2 you defined the function g(x):=x+4. Press e

 

to return the entry line and alongside f2(x)= enter g(x)

 

(G(X)) and draw the straight-line graph. Notice that the

The Graphing View

entry line will again disappear.

 

Pressing e once again will return the graph entry line, pressing e repeatedly and the highlight moves to different locations on the screen. Highlight the double arrow in the bottom right-hand corner and press ·. This enables you to see all the functions entered so far––the function history. Press d and you move to the main work area with a cursor in the form of an arrow at the origin.

© 2012 Texas Instruments Education Technology

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Contents First Steps About this document Contents Appendix TI-Nspire CX Keypad Layout TI-Nspire Documents Nothing on the screen?Memory Charging the handheld Battery LifeHome Screen First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Scratchpad Documents, Problems and PagesNavigating Documents First Steps with TI-Nspire Tutorial 1 TI-Nspire documents Contextual Menus Check list of some key points in Tutorial Basic operations Calculator ApplicationApproximate Calculations History LessonMenu of maths templates TemplatesDocument settings dialog box Effect of changed settingsGetting Set Some Algebra Ways to define variablesUse of function notation Calculator Menu Statistical Distribution TablesLists of random integers List of defined variables Variables Linked to DocumentsWhy use Notes? Making NotesVarious text formatting Instructions Recording results Splitting the Screen Format sub-menuWays to split the screen You must press /e and then b Use of Q+A template An inserted comment Use of proof template and symbolsMore Options from the Notes Menu Interactive NotesAsking Questions Check list of some key points in Tutorial Graphing View GraphingGraphs & Geometry Two Views Graphing FunctionsGrabbed tick mark on the axes Grab and Drag PracticeChanging the Axes Open-hand cursorZoom settings Grabbed-sheet icon Editing, Deleting or Hiding a FunctionChanging f2 in the function history Points of intersection Tracing GraphsPoints and coordinates Trace picks out significant pointsCoordinates and labelled points Analyse Graph MenuUsing Sliders Manually Moving GraphsAlternative icons Transformed graph and equation Sequence Plotting Check list of some key points in Tutorial Drawing the base of the triangle GeometryView for Plane Geometry Two Parallel LinesWhat’s grabbable? Construct the TriangleMany options in the Construction menu Storing the measurement as a variable Making MeasurementsVariables and Text Measurement menuChanging the attributes of the triangle Tidying Up and Using AttributesDynamic Changes Ready to grab a and slide itUnlocked/Unpinned Points B and C. Try Moving point B Area is now lockedCheck list of some key points in Tutorial Entering Data as Lists Lists & SpreadsheetUsing Formulae Conflict resolutionOne way to enter a formula Typical Spreadsheet Actions Capturing Data Function TablesHand-made function table Graph and table side by side Simple function table Options for function tablesFrequency Charts Charts with One Variable One and Two Variable StatisticsShoe Sizes and Hand Spans Upper quartile displayed Charts for Categorical DataPie Chart displaying categorical data Comparing BoxplotsCharts with Two Variables Fitting a Line by Hand and EyeReady to add a 2nd variable Drawing the Regression Line Getting the StatsCalculated regression line Statistics Calculations menu Effect of moving a point from here … … to here Dragging on the ChartsWorking with Frequency Data Sets of statisticsTexas Instruments Education Technology Check list of some key points in Tutorial Multiple Representations Draw and Measure a CircleMeasured circle Collecting Just a Little Data Setting up a scatter plot Data capture is under waySpreadsheet for Data Capture Two ScatterplotsMoving a straight line by hand Not a linear relationship Go to Town with Data CollectionFit a Straight Line Linear relationshipDifferent Approach to Scatterplots RegressionBasic quadratic ready for fitting… … and dragged into place