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Jeopardy

Composite Functions. Combining Functions. Inverse Functions and Relations. Combining Functions. Inverse Functions and Relations. Composite Functions. 100. 600. 600. 100. 600. 100. 700. 200. 200. 200. 700. 700. 300. 300. 300. 400. 400. 400. 500. 500. 500. Jeopardy.

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Jeopardy

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  1. Composite Functions Combining Functions Inverse Functions and Relations Combining Functions Inverse Functions and Relations Composite Functions 100 600 600 100 600 100 700 200 200 200 700 700 300 300 300 400 400 400 500 500 500 Jeopardy

  2. Combining Functions-100 Given f(x) = x + 5 and g(x) = x – 4, find (f + g)(x) Answer: (f + g)(x) = 2x + 1 NEXT QUESTION

  3. Combining Functions-200 Given f(x) = 3x + 1 and g(x) = 2x – 3, find (f – g)(x) Answer: (f – g)(x) = x + 4 NEXT QUESTION

  4. Combining Functions - 300 Given f(x) = 3x + 1 and g(x) = 2x – 3, find (f • g)(x) Answer: (f • g)(x) = 6x2 – 7x – 3 NEXT QUESTION

  5. Combining Functions - 400 Given f(x) = x2 and g(x) = 4 – x, find (f/g)(x) Answer: (f/g)(x) = x2 / (4 – x) NEXT QUESTION

  6. Combining Functions-500 Given f(x) = 3x2 and g(x) = 5/x, find (f/g)(x) Answer: (f/g)(x) = (3x3) / 5 NEXT QUESTION

  7. Combining Functions-600 Given f(x) = 8x - 3 and g(x) = 4x + 5, find (f - g)(x) Answer: (f – g)(x) = 4x - 8 NEXT QUESTION

  8. Combining Functions-700 Given f(x) = 8x - 3 and g(x) = 4x + 5, find (f • g)(x) Answer: (f • g)(x) = 32 x2 + 28x - 15 NEXT QUESTION

  9. Trivia - 300 What became the best selling single of all-time in 1997? Answer: Candle in the Wind NEXT QUESTION

  10. Classify Real numbers-400 Name the property: 3 + y = y + 3 Answer: Commutative of addition NEXT QUESTION

  11. Classify Real numbers-500 Name the property: 5 + 0 = 5 Answer: Additive ID NEXT QUESTION

  12. Composite Functions-100 Given f(x) = 3x and g(x) = x + 4, find f[g(1)] Answer: f[g(1)] = 15 NEXT QUESTION

  13. Composite Functions-200 Given h(x) = x2 – 1 and g(x) = x + 4, find g[h(-3)] Answer: g[h(-3)] = 12 NEXT QUESTION

  14. Composite Functions-300 Given f(x) = 3x, g(x) = x + 4, and h(x) = x2 – 1, Find [f◦g◦h](1) Answer: [f◦g◦h](1) = 12 NEXT QUESTION

  15. Composite Functions-400 Given g(x) = 3x and h(x) = x – 4, find g[h(x)] Answer: g[h(x)]= 3x - 12 NEXT QUESTION

  16. Composite Functions - 500 Given g(x) = x – 2 and h(x) = 3x2+ 1, Find h[g(x)] Answer: h[g(x)] = 3x2 - 12x + 13 NEXT QUESTION

  17. Composite Functions-600 Given: f = {(-1, 2), (5, 6), (0, 9)}, g = {(6, 0), (2, -1), (9, 5)} Find (f ◦ g)(9) Answer: (f ◦ g)(9) = 6 NEXT QUESTION

  18. Composite Functions-700 Given: f = {(-1, 2), (5, 6), (0, 9)}, g = {(6, 0), (2, -1), (9, 5)} Find (g ◦ f)(5) Answer: (g ◦ f)(5) = 0 NEXT QUESTION

  19. Absolute Value equations-300 Answer: No solution NEXT QUESTION

  20. Absolute Value equations-400 Answer: x=8, -4 NEXT QUESTION

  21. Absolute Value equations-500 Answer: x=16, -19 NEXT QUESTION

  22. Inverses - 100 Find the inverse of the relation: { (-3, -7), (0, -1), (5, 9), (7, 13) } Answer: { (-7, -3), (-1, 0), (9, 5), (13, 7) } NEXT QUESTION

  23. Inverses - 200 Find the inverse of the following function: f(x) = (3/4)x NEXT QUESTION

  24. Inverses - 300 Find the inverse of the following function: g(x) = x-7 8 NEXT QUESTION

  25. Inverses - 400 Determine if the following functions are inverses of each other: f(x) = 13x – 13 g(x) = x - 1 Answer: NO NEXT QUESTION

  26. Inverses - 500 Determine if the following functions are inverses of each other: f(x) = 2x – 8 g(x) = ½x + 4 Answer: YES NEXT QUESTION

  27. Inverses - 600 Determine if the following functions are inverses of each other: f(x) = 9 + (3/2)x g(x) = (2/3)x - 6 Answer: YES NEXT QUESTION

  28. Inverses - 700 Find the inverse of the following function: f(x) = 3x - 2 NEXT QUESTION

  29. Compound Inequalities-300 Answer: All Real Numbers NEXT QUESTION

  30. Compound Inequalities-400 Answer: No solution NEXT QUESTION

  31. Compound Inequalities-500 Answer: x<15, x>-17 NEXT QUESTION

  32. Daily Double

  33. Daily Double

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