Name __________________________ Date ...
Name __________________________________ Date _________________ Period _________
“Graphing Rational Functions” Worksheet #1 – Horizontal Asymptotes
Find the domain, vertical asymptotes, and horizontal asymptotes for the following rational functions.
|[pic] |[pic] |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
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|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
|[pic] |[pic] |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
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|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
|[pic] |[pic] |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
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|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
|[pic] |[pic] |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
| | |
|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
| | |
|[pic] |[pic] |
| | |
| | |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
| | |
|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
| | |
|[pic] |[pic] |
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|Domain: ______________ |Domain: ______________ |
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|Vertical Asymptote: _______________ |Vertical Asymptote: _______________ |
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|Horizontal Asymptote: ________________ |Horizontal Asymptote: ________________ |
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Find the vertical and horizontal asymptotes for the graphs of the given rational functions.
13. HA:____________ VA: _____________ 14. HA:____________ VA: _____________
15. HA:____________ VA: _____________ 16. HA:____________ VA: _____________
17. HA:____________ VA: _____________ 18. HA:____________ VA: _____________
19. Graph 3x + 6y < 12.
20. Dana bought 12 pizzas for a Math Club party. Some were pepperoni pizzas that $11.00 each, and the rest were mushroom pizzas that cost $9.50 each. She paid $124.50 for the pizzas. How many pepperoni pizzas did she buy?
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