# Accurate Graphing and Unfamiliar Functions

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25-Feb-2016Category

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### 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?

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