Accurate Graphing and Unfamiliar Functions

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Accurate Graphing and Unfamiliar Functions. Label your x-axis with the given interval Enter function into Y1 and set xmin and xmax to interval, zoom 0 Create a table of values and plot those points on your graph Find any relative extrema and plot on your graph - PowerPoint PPT Presentation

Transcript of Accurate Graphing and Unfamiliar Functions

  • ACCURATE GRAPHING AND UNFAMILIAR FUNCTIONS

  • Label your x-axis with the given intervalEnter function into Y1 and set xmin and xmax to interval, zoom 0Create a table of values and plot those points on your graphFind any relative extrema and plot on your graphDetermine the equation of any asymptotes and draw on your graphFind any axes intercepts and plot on your graphDraw the graph of the function, including all the points previously plottedMake sure the y-axis reflects the range in the given intervalFor trigonometric you need to determine period and amplitude

    Steps to Accurate Graphing

  • Accurate Graphing: Familiar Functions

    What are some functions whose graphs you already know?PolynomialsExponentialTrigonometricReciprocal/Rational

  • Step 2: Create a table of values(use the table in your calculator)

    x-7-6-5-4-3-2-1012y

  • Plot the points from your table

  • Step 3: Find any relative extrema, plot them(-1.5,10.25)Relative Minimum

  • Step 4: Determine the equation of any asymptotes and draw them on the graphQuadratic FunctionNone

  • Step 5: Find any axes intercepts and plot them

  • Step 6: Draw the graph of the functionStep 7: Make sure the y-axis reflects the range of the given interval

  • x020406080100120140160180200y

  • What would the period of this function be?

    What would be the amplitude?

  • Accurate Graphing: Unfamiliar FunctionsGraphing unfamiliar functions is done the same way as when graphing the functions whose shapes you know..however, a calculator is necessary to determine the shape.

    Often if an unfamiliar function is a combination of two functions you know, then the new functions takes on some of the properties of the familiar functions

  • Accurate Graphing: Unfamiliar Functions

  • Step 2: Create a table of values(use the table in your calculator)

    x-5-4-3-2-112345y

  • Plot points from table of values

  • (1.44,1.88) Relative MinimumStep 3: Find any relative extrema, plot them

  • Step 4: Determine the equation of any asymptotes and draw them on the graphVertical Asymptote at x=0

  • Step 5: Find any axes intercepts and plot on your graph

    This function has no axes intercepts

  • Step 6: Draw the graph of the function, including all plotted pointsStep 6: Make sure the y-axis reflects the range of the given interval

  • x0.5123456788.5y

  • What would the period of this function be?

    What would be the amplitude?