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Name:__________ warm-up 11-2 Write an inverse variation equation that relates x and y if y = 3 when x = –2. Assume that y varies inversely as x. If y =

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Presentation on theme: "Name:__________ warm-up 11-2 Write an inverse variation equation that relates x and y if y = 3 when x = –2. Assume that y varies inversely as x. If y ="— Presentation transcript:

1 Name:__________ warm-up 11-2 Write an inverse variation equation that relates x and y if y = 3 when x = –2. Assume that y varies inversely as x. If y = 7.2 when x = 3, find x when y = 2 Assume that y varies inversely as x. If y = –4 when x = 6, find x when y = 1.5 Electrical current I varies inversely with resistance R. If the current in a wire is 1.5 amperes at 4 ohms resistance, what is the current at 1.2 ohms resistance?

2 The points (18, 4.5) and (x, 3) are on the graph of an inverse variation. What is the missing value?

3 Details of the Day EQ: How do radical functions model real-world problems and their solutions? I will be able to… Activities: Warm-up Review homework Notes: Wed: Quiz 6-3 and 6-4 Class work/ HW Vocabulary: rational function excluded value asymptote.. Identify excluded values. Identify and use asymptotes to graph rational functions.

4 11-2 Rational Functions Slope

5 A Quick Review Write an inverse variation equation that relates x and y if y = 3 when x = –2. Assume that y varies inversely as x. If y = 7.2 when x = 3, find x when y = 2 Assume that y varies inversely as x. If y = –4 when x = 6, find x when y = 1.5 Electrical current I varies inversely with resistance R. If the current in a wire is 1.5 amperes at 4 ohms resistance, what is the current at 1.2 ohms resistance?

6 A Quick Review The points (18, 4.5) and (x, 3) are on the graph of an inverse variation. What is the missing value?

7 Notes and examples State the excluded value for the function. State the excluded value for the function

8 Notes and examples State the excluded value for the function

9 Notes and examples 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.

10 Notes and examples 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.

11 Notes and examples

12 . Identify the asymptotes for Then graph the function.

13 Notes and examples Identify the asymptotes for Then graph the function

14 Notes and examples

15

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