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Double Jeopardy

Double Jeopardy. Compliments of the James Madison Center, JMU. True or False: For the function y = x, as x   , f(x)   . Category 1 – 20 points. For the function y = ½ ^x as x   , f(x)  ? Category 1 – 40 points. For the function f(x) = x ³ as x  -  , f(x)  ?

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Double Jeopardy

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  1. Double Jeopardy Compliments of the James Madison Center, JMU

  2. True or False: For the function y = x, as x , f(x) . Category 1 – 20 points

  3. For the function y = ½^x as x , f(x)  ? Category 1 – 40 points

  4. For the function f(x) = x³ as x  - , f(x)  ? Category 1 – 60 points

  5. For an even function the end behavior is the same as x  as when x  -. True or False Category 1 – 80 points

  6. For the function f(x) = 1/x + 4 as x , f(x) x  ? Category 1 – 100 points

  7. Name three parent functions that are increasing on their entire domain. Also, along with being the name of a Kid Cudi song, the pursuit of happiness is part of what famous document? Category 2 – 20 points

  8. Give the interval on which y = -x² is decreasing. Category 2 – 40 points

  9. Give the interval on which the following function is increasing. Category 2 – 60 points

  10. Give the intervals on which the graph of sin(x) is increasing between 0 and 2π. Category 2 – 80 points

  11. Give two examples of different ways to make the exponential function decrease on its entire domain. Category 2 – 100 points

  12. Name two parent functions that have only one maximum or minimum. Category 3 – 20 points

  13. Does the function f(x) = -4(x-5)² + 2 have a maximum or minimum? Why? Bonus: Name two of my bald colleagues. Category 3 – 40 points

  14. Give the coordinate point of the minimum of F(x) = 3(x+2)² - 4 Category 3 – 60 points

  15. State the coordinate point of the first minimum of cos(x) on the positive domain. Category 3 – 80 points

  16. Write the equation of a absolute value function with a maximum at (2 , 6). Category 3 – 100 points

  17. Name two parent functions with horizontal asymptotes. Category 4 – 20 points

  18. Name two parent functions with vertical asymptotes. Category 4 – 40 points

  19. Give the equation of the line of the vertical asymptote of the function F(x) = 1/(x+3) Category 4 – 60 points

  20. Give the equation of the line of the horizontal asymptote of the function: Category 4 – 80 points

  21. What type of discontinuity is an asymptote? Category 4 – 100 points

  22. Name two even functions. Category 5 – 20 points

  23. Name 3 odd functions. Category 5 – 40 points

  24. To be an even function f(x) = ______ Category 5 – 60 points

  25. To be an odd function f(-x) = ____ For credit, describe what this means in terms of graphical transformations. Category 5 – 80 points

  26. Where is Ms. McIntyre from? Category 5 – 100 points

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