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Accurate Graphing and Unfamiliar Functions

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

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Accurate Graphing and Unfamiliar Functions

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  1. Accurate Graphing and Unfamiliar Functions

  2. 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 • Determine the equation of any asymptotes and draw on your graph • Find any axes intercepts and plot on your graph • Draw the graph of the function, including all the points previously plotted • Make sure the y-axis reflects the range in the given interval • For trigonometric you need to determine period and amplitude Steps to Accurate Graphing

  3. Accurate Graphing: Familiar Functions • What are some functions whose graphs you already know? • Polynomials • Exponential • Trigonometric • Reciprocal/Rational

  4. Step 1: Label you x-axis with the given interval

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

  6. Plot the points from your table

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

  8. Step 4: Determine the equation of any asymptotes and draw them on the graph Quadratic FunctionNone

  9. Step 5: Find any axes intercepts and plot them x-intercept (1.7,0) x-intercept (-4.7,0)

  10. Step 6: Draw the graph of the function Step 7: Make sure the y-axis reflects the range of the given interval

  11. What would the period of this function be? What would be the amplitude?

  12. Accurate Graphing: Unfamiliar Functions • Graphing 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

  13. Accurate Graphing: Unfamiliar Functions

  14. Step 1: Label you x-axis with the given interval

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

  16. Plot points from table of values

  17. Step 3: Find any relative extrema, plot them (1.44,1.88) Relative Minimum

  18. HorizontalAsymptote y=0 Step 4: Determine the equation of any asymptotes and draw them on the graph Vertical Asymptote at x=0

  19. Step 5: Find any axes intercepts and plot on your graph This function has no axes intercepts

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

  21. What would the period of this function be? What would be the amplitude?

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