Transcript Steps to Accurate Graphing

ACCURATE GRAPHING AND
UNFAMILIAR FUNCTIONS
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Steps to
Accurate
Graphing
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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
Accurate Graphing: Familiar Functions
 What are some functions whose graphs you
already know?
 Polynomials
 Exponential
 Trigonometric
 Reciprocal/Rational
Step 1: Label you x-axis with the given interval
Step 2: Create a table of values(use the table in your
calculator)
x
y
-7 -6 -5 -4 -3 -2 -1
0
1
2
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 graph
Quadratic FunctionNone
Step 5: Find any axes intercepts and plot them
x-intercept (-4.7,0)
x-intercept (1.7,0)
Step 6: Draw the graph of the function
Step 7: Make sure the y-axis reflects the
range of the given interval
x 0 20 40 60 80 100 120 140 160 180 200
y
What would the period of this function be?
What would be the amplitude?
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
Accurate Graphing: Unfamiliar Functions
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Step 1: Label you x-axis with the given interval
Step 2: Create a table of values(use the table in your
calculator)
x
y
-5 -4 -3 -2 -1
1
2
3
4
5
Plot points from table of values
Step 3: Find any relative extrema, plot them
(1.44,1.88) Relative Minimum
Step 4: Determine the
equation of any
asymptotes and draw
them on the graph
Horizontal Asymptote y=0
Vertical 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
points
Step 6: Make sure the
y-axis reflects the range
of the given interval
x 0 .5 1
y
2
3
4
5
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8
8.5
What would the period of this function be?
What would be the amplitude?