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11.2 RATIONAL FUNCTIONS ALGEBRA 1
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Content Standards A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Mathematical Practices 3: Construct viable arguments and critique the reasoning of others. 7: Look for and make use of structure.
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Identify excluded values. Identify and use asymptotes to graph rational functions.
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State the excluded value for the function. A. B. C. Rational Expression: A fraction that contains a polynomial (or variable) in the numerator and/or denominator.
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State the excluded value for the function. A. B. C.
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GRAPHING INTRO TALENT SHOW If x students will compete in a talent show lasting 100 minutes, the function represents the number of minutes available for each act. Graph this function. X Y
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YOU TRY! Dante and some friends are organizing a lawn service to earn some money for the summer. They have contracted many houses in the neighborhood and are on track to earn $300. The average share of profits y, represented by the function decreases as the number of friends x Dante works with. Choose the graph that represents this function. A. B. C. D. X Y
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Asymptotes
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A.x = 0, y = –2 B.x = –2, y = 2 C.x = –2, y = 0 D.x = 6, y = –2
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PUTTING IT ALL TOGETHER #1 Identify the asymptotes for Then graph the function. Step 1Identify and graph the asymptotes using dashed lines. Vertical Asymptote: _______ Horizontal Asymptote: ______ Step 2Make a table of values and plot the points. Then connect them. X Y
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PUTTING IT ALL TOGETHER #2 Identify the asymptotes for Then graph the function. Step 1Identify and graph the asymptotes using dashed lines. Vertical Asymptote: _______ Horizontal Asymptote: ______ Step 2Make a table of values and plot the points. Then connect them. X Y
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PUTTING IT ALL TOGETHER #3 Identify the asymptotes for Then graph the function. A.B. C.D.
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END OF THE LESSON
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