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Welcome to Jeopardy!

Join the AP Calculus contestants in a thrilling game of Jeopardy, where you'll test your calculus knowledge and skills in various topics such as functions, derivatives, integrals, and more. Get ready to solve equations, graph curves, and find the inverse of functions. Can you emerge as the calculus champion?

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Welcome to Jeopardy!

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  1. Welcome to Jeopardy! AP Calculus Contestants!

  2. Can You Function in the Morning? Too hip to be squared. Opposites Attract I Saw the Sine. Call 911! We Need a Parametric. 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

  3. Graph the curve and determine the initial and terminal points, if any.

  4. And the Answer Is: Back to the Board.

  5. Find a Cartesian equation for a curve that contains the parametrized curve. What portion of the graph of the Cartesian equation is traced by the parametrized curve?

  6. And the Answer Is: All Back to the Board.

  7. Find the values of t that produce the graph in Quadrant IV.

  8. And the Answer Is: Back to the Board.

  9. Find a parametrization for the part of the graph that lies in Quadrant I.

  10. Possible Answers Include: Back to the Board.

  11. Find a parametrization for the left half of the parabola

  12. Possible Answers Include: Back to the Board.

  13. Rewrite the following expression to have base 3:

  14. And the Answer Is: Back to the Board.

  15. Determine how much time is required for an investment to triple in value if interest is earned at the rate of 5.75% compounded daily.

  16. And the Answer Is: Back to the Board.

  17. If John invests $2300 in a savings account with a 6% interest rate compounded annually, how long will it take until John’s account has a balance of $4150?

  18. And the Answer Is: Back to the Board.

  19. The half life of a certain radioactive substance is 12 hours. There are 8 grams present initially. Express the amount of substance remaining as a function of time. When will there be 1 gram remaining?

  20. And the Answer Is: Amount = After 36 hours Back to the Board.

  21. The population of Glenbrook is 375,999 and is increasing at the rate of 2.25% per year. Predict when the population will be 1 million.

  22. And the Answer Is: After about 43.47 years (continuous) OR 43.96 years (annual) So 44 years Back to the Board.

  23. Write an equation for the lines parallel and perpendicular to the line and contains the point .

  24. And the Answer Is: Back to the Board.

  25. Find the domain and range of the following function:

  26. And the Answer Is: Back to the Board.

  27. Determine if the following function is even or odd:

  28. And the Answer Is: Odd function Back to the Board.

  29. Find the formula of the piecewise function displayed on the following graph:

  30. And the Answer Is: Back to the Board.

  31. Find the composition of functions , , , and whenand

  32. And the Answer Is: Back to the Board.

  33. Is the function one-to-one?Explain why or why not.

  34. And the Answer Is: No because not every output has only one input. (Does not pass the horizontal line test.) Back to the Board.

  35. Does the function have an inverse? If yes, find If not, explain why. Back to the Board.

  36. And the Answer Is: Yes, Back to the Board.

  37. Find the inverse of the following function and verify that :

  38. And the Answer Is: Back to the Board.

  39. Solve the following equation algebraically and support your answer graphically.

  40. And the Answer Is: Back to the Board.

  41. Graph andon the same screen. What do you notice?

  42. And the Answer Is: Back to the Board.

  43. Determine the period and amplitude and draw the graph of the following function:

  44. And the Answer Is: Period: Amplitude: infinite Back to the Board.

  45. Find the value of the six trigonometric functions at given that

  46. And the Answer Is: Back to the Board.

  47. Evaluate the following expression:

  48. And the Answer Is: Back to the Board.

  49. Show that is an odd function of x.Using this, show that the reciprocal of an odd function is also odd.

  50. And the Answer Is: The reciprocal of cosecant is the sine function: Back to the Board.

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