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

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Presentation on theme: "Jeopardy 100 Composite Functions 500 300 200 400 600 Combining Functions 700 100 Combining Functions 500 300 200 400 600 Inverse Functions and Relations."— Presentation transcript:

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

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

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

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

6 Combining Functions - 400 Given f(x) = x 2 and g(x) = 4 – x, find (f/g)(x) Answer: (f/g)(x) = x 2 / (4 – x) NEXT QUESTION

7 Combining Functions- 500 Answer: (f/g)(x) = (3x 3 ) / 5 NEXT QUESTION Given f(x) = 3x 2 and g(x) = 5/x, find (f/g)(x)

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

9 Combining Functions- 700 Answer: (f g)(x) = 32 x 2 + 28x - 15 NEXT QUESTION Given f(x) = 8x - 3 and g(x) = 4x + 5, find (f g)(x)

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

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

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

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

14 Composite Functions- 200 Answer: g[h(-3)] = 12 NEXT QUESTION Given h(x) = x 2 – 1 and g(x) = x + 4, find g[h(-3)]

15 Composite Functions- 300 Answer: [f◦g◦h](1) = 12 NEXT QUESTION Given f(x) = 3x, g(x) = x + 4, and h(x) = x 2 – 1, Find [f◦g◦h](1)

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

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

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

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

20 Absolute Value equations-300 Answer: No solution NEXT QUESTION

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

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

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

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

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

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

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

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

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

31 Compound Inequalities- 300 Answer: All Real Numbers NEXT QUESTION

32 Compound Inequalities- 400 Answer: No solution NEXT QUESTION

33 Compound Inequalities- 500 Answer: x -17 NEXT QUESTION

34 Daily Double

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