Rational%20Functions:%20Sketching%20Graphs

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Rational Functions Sketching Graphs
First find the intercepts.
To find the x-intercept(s), set f (x) 0 and
solve.
3x 5 0,
3x - 5,
x - 5/3,
x-intercept (- 5/3, 0)
To find the y-intercept(s), set x 0 and solve.
y-intercept (0, - 5/2)
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Rational Functions Sketching Graphs
Second, find the asymptotes.
To find the vertical asymptote(s), set the
denominator equal to 0 and solve.
vertical asymptote x 2
x 2 0,
Since the degrees of the numerator and
denominator are the same (see separate
slideshow), the horizontal asymptote is
y 3/1.
horizontal asymptote y 3
Third, plot the intercepts and asymptotes found
on the rectangular coordinate plane (click to see
on next slide).
Slide 2
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Rational Functions Sketching Graphs
Slide 3
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Rational Functions Sketching Graphs
NOTES
Slide 4
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Rational Functions Sketching Graphs
Fifth, graph the parts shown by the graphing
calculator.
Slide 5
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Rational Functions Sketching Graphs
Slide 6
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Rational Functions Sketching Graphs
END OF PRESENTATION
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