1. The cost in millions of dollars to manufacture x hundred thousand units of a product per month is given in the table. a. Create a scatterplot of the data in the table. 8.1-1 1 x (100,000 units)012345678910 Cost (million $)5.47.78.659.381010.5411.0311.4911.9112.312.67

2. The cost in millions of dollars to manufacture x hundred thousand units of a product per month is given in the table. b. An estimated model for this data is given by the following. Let be the cost in millions of dollars to produce x 100,000 units per month. Graph this model with the data. 8.1-1 2 x (100,000 units)012345678910 Cost (million $)5.47.78.659.381010.5411.0311.4911.9112.312.67

3. c. Estimate the cost to produce 1.5 million units per month. 8.1-1 3

4. d. If this company produces up to 2 million units per month, find the domain and range of this function. 8.1-1 4

5. e. Use the graph to estimate the number of units the company can produce with a budget of $15 million. 8.1-1 5

6. The average weight of a boy at different ages is given in the table. Source: “The Wellness Site” aarogya.com a. Create a scatterplot of the data in the table. 8.1-2 6 Age (months)369122436 Weight (lb)13.217.1920.2422.4427.0632.12

7. The average weight of a boy at different ages is given in the table. Source: “The Wellness Site” aarogya.com b. Let be the average weight of a boy in pounds at age a months old. Graph the function with the data. 8.1-2 7 Age (months)369122436 Weight (lb)13.217.1920.2422.4427.0632.12

8. The average weight of a boy at different ages. c. Estimate the average weight of boys who are 20 months old. 8.1-2 8

9. The average weight of a boy at different ages. d. Estimate numerically at what age the average weight of a boy will be 30lb. 8.1-2 9

10. a. Given the function find the following. i. ii. Estimate numerically x such that 8.1-3 10

11. a. Given the graph of the function find the following. i. Estimate ii. Estimate x such that 8.1-3 11

12. Give the domain and range of the following radical functions. a. b. c. 8.1-4 12

13. Give the domain and range of the following radical functions. a. 8.1-5 13

14. Give the domain and range of the following radical functions. b. 8.1-5 14

15. Give the domain and range of the following radical functions. c. 8.1-5 15

16. Sketch the graph of the following radical functions. a. 8.1-6 16

17. Sketch the graph of the following radical functions. b. 8.1-6 17

18. Sketch the graph of the following radical functions. c. 8.1-6 18

19. Sketch the graph of the following radical functions. d. 8.1-6 19

20. Evaluate the following radicals without a calculator. a. b. c. d. 8.2-1 20

21. Simplify the following radicals. Assume all variables are nonnegative. a. b. c. 8.2-2 21

22. Add or subtract the following expressions. Assume all variables are nonnegative. a. b. 8.2-3 22

23. Add or subtract the following expressions. Assume all variables are nonnegative. c. 8.2-3 23

24. Add or subtract the following expressions. Assume all variables are nonnegative. a. b. 8.2-4 24

25. Multiply the following and simplify the result. a. b. 8.3-1 25

26. Multiply the following and simplify the result. c. 8.3-1 26

27. Multiply the following and simplify the result. a. b. 8.3-2 27

28. Multiply the following and simplify the result. c. 8.3-2 28

29. Multiply the following and simplify the result. a. b. 8.3-3 29

30. Simplify the following radicals. a. b. 8.3-4 30

31. Simplify the following radicals. c. 8.3-4 31

32. Rationalize the denominator and simplify the following radical expressions. a. b. 8.3-5 32

33. Rationalize the denominator and simplify the following radical expressions. c. 8.3-5 33

34. Simplify the following radical expressions. a. b. 8.3-6 34

35. Rationalize the denominator of the following fractions. a. b. 8.3-7 35

36. Rationalize the denominator of the following fractions. c. 8.3-7 36

37. Solve the following equations. a. b. 8.4-1 37

38. The period of a simple pendulum for a small amplitude is given by the function Where is the period in seconds and L is the length of the pendulum in feet. a. Find the period of a pendulum if its length is 1ft. b. How long does a pendulum need to be if we want the period to be 2.5 seconds? 8.4-2 38

39. At sea level, the speed of sound through air can be calculated by using the following formula. where c is the speed of sound in meter per second and T is the temperature in degrees Celsius. a. Find the speed of sound when the temperature is. 8.4-3 39

40. At sea level, the speed of sound through air can be calculated by using the following formula. where c is the speed of sound in meter per second and T is the temperature in degrees Celsius. b. Find the temperature if the speed of sound is 350m/s. 8.4-3 40

41. Solve the following equations. a. b. 8.4-4 41

42. Solve the following equations. a. b. 8.4-5 42

43. Solve the following equations. a. 8.4-6 43

44. Solve the following equations. a. b. 8.4-7 44

45. Simplify the following, using the imaginary number i. a. b. c. 8.5.1 45

46. For each complex number, name the real part and the imaginary part. a. b. 8.5-2 46

47. Add or subtract the following complex numbers. a. b. 8.5-3 47

48. Multiply the following complex numbers. a. b. c. 8.5-4 48

49. Write the complex conjugate of the following. a. b. c. 8.5-5 49

50. Multiply the following complex numbers by their conjugates. a. b. c. 8.5-6 50

51. Divide the following. Put all answers in the standard form of a complex number. a. b. c. 8.5-7 51

52. Solve the following equations. Give answers in the standard form of a complex number. a. b. 8.5-8 52

53. Solve the following equations. Give answers in the standard form of a complex number. c. 8.5-8 53