objective: students will be able to graph rational functions using their asymptotes and zeros
DESCRIPTION
Determining Properties of Hyperbolas Identify the asymptotes, domain, and range of the following rational functions. Example 1: Asymptotes: Domain: Range:TRANSCRIPT
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5.4 – Graphing Rational Functions
Objective: Students will be able to graph rational functions using their asymptotes and zeros.
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Graphs of Rational Functions
An asymptote of a function is a line that continuously approaches the function but never touches it at any point.
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Determining Properties of HyperbolasIdentify the asymptotes, domain, and range of the
following rational functions. Example 1:
Asymptotes:
Domain:
Range:
![Page 4: Objective: Students will be able to graph rational functions using their asymptotes and zeros](https://reader035.vdocument.in/reader035/viewer/2022081513/5a4d1b397f8b9ab05999dfa3/html5/thumbnails/4.jpg)
Example 2:Asymptotes:
Domain:
Range:
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Rational Function PropertiesDiscontinuous function – a function whose graph has one or
more gaps or breaks. (ex: hyperbola)Continuous function – a function whose graph has no gaps or
breaks. (ex: linear, quadratic, polynomial)
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Graphing Rational Functions with Vertical AsymptotesDirections: Identify the zeros and vertical asymptotes of the
function. Then graph. Example 3:
Zeros:Vertical Asymptote:
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Example 4
Zeros:Vertical Asymptote:
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Example 5Directions: Identify the zeros and asymptotes of each
function. Then graph using the graphing calculator.
f(x) =
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Example 6f(x) =
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Example 7f(x) =
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Homework for tonight Homework # _____
Textbook pg. 345 # 20, 21, 23, 25, 26, 27