2. Concepts Operations & Inverses SpecialWildcard Introduction

3. Main Board Concepts Operations & Inverses SpecialWildcard

4. 1.Which of the relations shown are functions? 2.Which are one-to-one functions? 1 Category $100 A. {(-7, 3), (-8, 3), (-1, 4), (0,8)} B. | y+1 | = x C.

5. 1.What is the domain of function k ? k(x) =  2x-4 1 Category $200

6. 1 Category $300 Sketch the inverse of the function shown at the right.

7. 1 Category $400 A. y = 3x + 1 B. y = – | x | + 4 C. y = 4x 2 D. Which of the functions shown have inverses? How do you know? (Note: you do NOT have to find the inverses)

8. 2 Category $100 f(x) = 2x – 7 g(x) = 3x 2 h(x) = 5x – 3 1. ( f – h ) (x) = ? 2. ( f – h ) (3) = ?

9. 2 Category $200 f(x) = 2x – 7 g(x) = 3x 2 h(x) = 5x – 3 What is ( h f g) (x) ?

10. 2 Category $300 f(x) = 2x – 7 g(x) = 3x 2 h(x) = 5x – 3 1. Find f - 1 (x) 2. Find f -1 (f (g (g -1 (x)))

11. 2 Category $400 The volume of a sphere is given by the formula V = 4 / 3  r 3 If the radius is doubled, the volume of the sphere is how many times larger?

12. 3 Category $100 3x 2 + 12, x  -2 f(x) = – 6, x < -2 1. f (-1) = ? 2. f (-7) = ?

13. 3 Category $200 nf(n) 16 210 316 424 534 646 Write a recursive function that describes the pattern shown in the table.

14. 3 Category $300 Write a linear or quadratic function to represent the recursive function: f(0) = 2 f (n) = f (n – 1) + 5

15. 3 Category $400 Graph the compound (piecewise) function: | x |, x  -2 f(x) = – (x + 2) 2 + 2, x < -2

16. 4 Category $100 8, 2, 5, 7, 5, 9, 37, 6, 5, 12, 6, 11 Find the mean, median, mode, and range. Which is the most representative indicator of central tendency in this case?

17. 4 Category $200 I surveyed 10 people as to their annual salary. The results are listed below. Create a box-and-whisker plot to represent the data. 26,000 20,000 31,000 26,200 24,200 80,000 75,000 79,100 22,100 64,000

18. 4 Category $300 What is the equation of the graph shown?

19. 4 Category $400 Find x. x 1 2 -3 1 1 = 0 4 0 x

20. DAILY DOUBLE Decide how much of your earnings you are willing to wager on the next daily double question. Write that number in the upper right hand corner of your paper and circle it.

21. FINAL INTRO Decide how much of your earnings you are willing to wager on the Final Jeopardy question. Write that number in the upper right hand corner of your paper and circle it.

22. FINAL QUESTION Tell Mr. Bretsch to write it on the board!