Texas Instruments TINSPIRECX manual Sequence Plotting

Page 33

First Steps with TI-Nspire™

Tutorial 4: Graphing

Next add a second function f4(x)=f3(x-d)by pressing eF3(X-D)·, this function is a transformation of the original function by d. Now grab the handle on the slider and move it left and right and observe the effect on the graph.

Try changing the original function, or moving the position of d in f4 to explore other transformations.

Sequence Plotting

We normally think of sequences as being lists of numbers, but sometimes it is useful to look at them graphically. The TI-Nspire makes this easy with the aid of its sequence plotting mode. To do this, create a new Graphs page by pressing c then selecting .

Then press b351 to put the TI-Nspire in to sequence mode. Enter the nth term of the sequence as u1(n)=2n-1 and enter the Initial Terms as the first term in the sequence, 1, and press ·.

Adjust the window setting by pressing b41 and change the x-axis to go from -2 to 21 and the y-axis to go from -2 to 42. Now you can explore the sequence further by using Graph Trace b51 or by displaying the sequence as a table by pressing /T.

You can also use the sequence plotter to explore recursive sequences. For example you could instead define u1(n)=u1(n-1)+u1(n-2)and set the Initial Terms set to 1,1 (1,1) which would give you a Fibonacci sequence.

Finally save the document as FirstSteps5 so that you can refer to these graphs later.

© 2012 Texas Instruments Education Technology

Page 33

Image 33

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 More Options from the Notes Menu An inserted comment Use of proof template and symbolsInteractive Notes Use of Q+A templateAsking Questions Check list of some key points in Tutorial Graphs & Geometry Two Views GraphingGraphing Functions Graphing ViewChanging the Axes Grab and Drag PracticeOpen-hand cursor Grabbed tick mark on the axesZoom settings Grabbed-sheet icon Editing, Deleting or Hiding a FunctionChanging f2 in the function history Points and coordinates Tracing GraphsTrace picks out significant points Points of intersectionCoordinates 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 View for Plane Geometry GeometryTwo Parallel Lines Drawing the base of the triangleWhat’s grabbable? Construct the TriangleMany options in the Construction menu Variables and Text Making MeasurementsMeasurement menu Storing the measurement as a variableDynamic Changes Tidying Up and Using AttributesReady to grab a and slide it Changing the attributes of the triangleUnlocked/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 Pie Chart displaying categorical data Charts for Categorical DataComparing Boxplots Upper quartile displayedCharts 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 Working with Frequency Data Dragging on the ChartsSets of statistics Effect of moving a point from here … … to hereTexas Instruments Education Technology Check list of some key points in Tutorial Multiple Representations Draw and Measure a CircleMeasured circle Spreadsheet for Data Capture Setting up a scatter plot Data capture is under wayTwo Scatterplots Collecting Just a Little DataFit a Straight Line Go to Town with Data CollectionLinear relationship Moving a straight line by hand Not a linear relationshipDifferent Approach to Scatterplots RegressionBasic quadratic ready for fitting… … and dragged into place