QUIZ-QUIZ-TRADE: Algebra II/Trig – RF-1 Materials: clipboard with scrap paper attached, pencil, calculator, quiz card Directions for Teacher: Cut apart each of the “cards” attached and fold so that the question is on one side and the answer on the other. Distribute one card to each student to start. Organize students in pairs. One student in the pair reads his/her question to the other student. The second student solves the problem and recites the answer. The first student checks the answer with the answer listed on the card. The students swap roles. After both students have read their question and answered the other question, the students trade cards and then raise their hand to indicate that they are seeking a new partner. The students find another student with a raised hand (a new partner) and repeat the process. 1. Express the following inequality using interval notation. 1. Answer -3 < x ≤ 8 (-3, 8] 2. Given f(x) = 5x and g(x) = -2x + 1, find f(g(3a)). 2. Answer -30a + 5 3. Specify the domain and range using interval notation. 3. Answer D: (-∞, ∞); R: (-∞, 4] 4. Write the rule (equation) for the following relation: {(2, 3), (1, 0), (5, 24), (-3, 8), (3, 8)} 4. Answer y = x2 – 1 5. State the domain: f(x) = 1 - 2x 5. Answer x£ 6. Is the graph continuous or discrete? 1 2 6. Answer Continuous 7. Find f(-3). 7. Answer 2 8. If f(x) = -2, find x. 8. Answer -2, 2 9. Is the function discrete or continuous? 9. Answer Discrete 10. Express the inequality using interval notation. 10. Answer [-3, 3) 11. Answer 11. Given h(x) = x2 + 2, find h(a – 3). a2 -6a + 11 12. Given g(x) = 4x + 3. If g(x) = 39, then x =? 12. Answer 9 13. Is the graph a function? 13. Answer Yes. 14. Classify using all the terms that apply: Natural, Whole, Integer, Rational, Irrational, and Real. 14. Answer Rational, Real -3.4897 15. Specify the domain: 2 y(c) = 2 c + 3c 15. Answer c 0, -3 16. Given the graph of f(x), find f(3). 16. Answer 6 17. Given the graph of f(x), if f(x) = 6, find x. 17. Answer -1, 3 18. If f(a) = 1, find g(a). 18. Answer 2 2f(7) 19. Given f(x) = 2x – 5, find . 3 20. Given h(x) = x2 – 3. Find x, if h(x) = 78. 19. Answer 6 20. Answer 9 21. Answer 21. Given g(x) = 7x + 10, find g(2b – 3). 14b - 11 22. Specify the domain using interval notation. 22. Answer (-6, ∞) 23. Specify the range using interval notation. 24. Joe is starting a new job. His earnings are a function of the hours he works. Is his total earnings the independent or dependent variable? 23. Answer [6, -4] 24. Answer Dependent 25. Betty realized last year that her test scores are a function of the time she spends studying. Are her test scores or the time she spends studying the independent variable? 25. Answer Time she spends studying.