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Understanding Rational Functions and Asymptotes from Jeopardy Questions

Dive deep into the intriguing world of rational functions through a series of Jeopardy questions. Explore vertical and horizontal asymptotes, partial fractions, and their applications in graphing equations. This engaging content guides you through intricate mathematical concepts, including slant asymptotes and the significance of holes in equations. By tackling challenging examples, such as determining travel time and equation characteristics, you'll enhance your comprehension of rational functions. Perfect for math enthusiasts and students alike!

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Understanding Rational Functions and Asymptotes from Jeopardy Questions

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Presentation Transcript

  1. Rational decisions while in Jeopardy

  2. Category 1 - .1 The vertical asymptote of: (x2+4x+7) (x+4)

  3. Answer 1 – .1 What is x=-4?

  4. DAILYYYYY DOUBLEEEE

  5. Category – 2,000,000 The expanded form of this partial fraction is: ( 2x2-4x+1 ) x2(x-1)

  6. Answer 1 – 2,000,000 What is the resultant fraction when these partial fractions are added together? 3/x-1/x2-1/(x-1)

  7. Category 1 – 3,000,000,000 The graph of this equation is:

  8. Answer 1 – 3,000,000,000 What is: ( x ) (x2-1)

  9. Category 2 - .1 The graph of this equation is:

  10. Answer 2 – .1 What is: (x+1)(x+2)(x+4) (x+2)(x+4)

  11. Category 2 – 2,000,000 An equation with that slant asymptote is: x2+3x+9 x+4

  12. Answer 2 – 2,000,000 What is a possible rational equation with this slant asymptote: y=x-1

  13. Category 2 – 3,000,000,000 The horizontal asymptote of: (5x4-x5+9x3-7x7) (4x5+6x7+3x5)

  14. Answer 2 – 3,000,000,000 What is y=-7/6?

  15. Category 3 - .1 A possible equation with this hole is: ex2+ex-2e x-1

  16. Answer 3 – .1 What is an equation with a hole at x=1?

  17. Category 3 – 2,000,000 Her last name used to be Hall.

  18. Answer 3 – 2,000,000 Who is Mrs. Bailey?

  19. Category 3 – 3,000,000,000 The meaning of life.

  20. Answer 3 – 3,000,000,000 What is 42?

  21. FINAL JEOPARDY Patty-Star is traveling at a constant rate. He starts traveling north a hundred miles and then changes direction. He heads two hundred miles east. The entire trip takes four hours. How many hours does it take for him to travel north? Jon asks how this question has to do with rational functions even though it was on the Rational Function Test.

  22. Final Jeopardy Answer What is four thirds of an hour?

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