rational functions and their graphs€¦ · rational function: 2. f(x) = if n = m, the liney = —l...
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![Page 1: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/1.jpg)
Rational Functions and their graphs
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November 06, 2018
Rational Functions and Their Graphs
Objectives:• Find the domains of rational functions.• Use arrow notation.• Identify vertical asymptotes.• Identify horizontal asymptotes.• Use transformations to graph rational functions.• Graph rational functions.• Identify slant asymptotes.• Solve applied problems involving rational functions.
![Page 2: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/2.jpg)
Rational Functions and their graphs
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November 06, 2018
Rational Functions
![Page 3: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/3.jpg)
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November 06, 2018
![Page 4: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/4.jpg)
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Vertical Asymptotes
![Page 5: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/5.jpg)
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![Page 6: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/6.jpg)
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![Page 7: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/7.jpg)
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November 06, 2018
Horizontal Asymptote
![Page 8: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/8.jpg)
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![Page 9: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/9.jpg)
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![Page 10: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/10.jpg)
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Slant Asymptote
![Page 11: Rational Functions and their graphs€¦ · rational function: 2. f(x) = If n = m, the liney = —L ra h off. is the horizontal asymptote of the Let f be the rational function given](https://reader035.vdocuments.us/reader035/viewer/2022070903/5f5eaa5f4fa82902de26386b/html5/thumbnails/11.jpg)
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