Study Guide and Review - Chapter 10 Graph each function. Compare to the parent graph. State the domain and range. 11. y =
+ 3
ANSWER: translated up 3; D = {x | x ≥ 0}, R = {y | y ≥ 3}
12. y =
+ 2
ANSWER: translated up 2; D = {x|x ≥ 0}, R = {y|y ≥ 2}
13. y = −5 ANSWER: stretched vertically and reflected across the x-axis; D = {x|x ≥ 0}, R = {y|y ≤ 0}
14. y =
− 6
ANSWER: translated down 6; D = {x|x ≥ 0}, R = {y|y ≥ –6} eSolutions Manual - Powered by Cognero
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Study Guide and Review - Chapter 10
14. y =
− 6
ANSWER: translated down 6; D = {x|x ≥ 0}, R = {y|y ≥ –6}
15. y = ANSWER: translated right 1; D = {x|x ≥ 1}, R = {y|y ≥ 0}
16. y =
+ 5
ANSWER: translated up 5; D = {x|x ≥ 0}, R = {y|y ≥ 5}
17. GEOMETRY The function s = can be used to find the length of a side of a square given its area. Use this function to determine the length of a side of a square with an area of 90 square inches. Round to the nearest tenth if necessary. ANSWER: 9.5 in. eSolutions Manual - Powered by Cognero Simplify.
18.
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function to determine the length of a side of a square with an area of 90 square inches. Round to the nearest tenth if necessary. ANSWER: Study Guide and Review - Chapter 10 9.5 in. Simplify. 18. ANSWER:
19. ANSWER:
20. ANSWER:
21. ANSWER: 36 22. ANSWER:
23. ANSWER:
24. ANSWER:
25. ANSWER:
26. eSolutions Manual - Powered by Cognero
ANSWER:
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ANSWER: Study Guide and Review - Chapter 10
26. ANSWER: −6 − 3 27. ANSWER:
28. WEATHER To estimate how long a thunderstorm will last, use
, where t is the time in hours and d is the
diameter of the storm in miles. A storm is 10 miles in diameter. How long will it last? ANSWER: about 2.15 hours or 2 hours and 9 minutes Simplify each expression. 29. ANSWER:
30. ANSWER:
31. ANSWER:
32. ANSWER:
33. ANSWER:
34. ANSWER: eSolutions Manual - Powered by Cognero
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33. ANSWER: Study Guide and Review - Chapter 10
34. ANSWER:
35. ANSWER:
, where v is the 36. MOTION The velocity of a dropped object when it hits the ground can be found using velocity in feet per second, g is the acceleration due to gravity, and d is the distance in feet the object drops. Find the speed of a penny when it hits the ground, after being dropped from 984 feet. Use 32 feet per second squared for g. ANSWER: about 250.95 ft/s Solve each equation. Check your solution. 37. ANSWER: no solution 38. ANSWER: −41 39. ANSWER: 32 40. ANSWER:
41. ANSWER: 12 42. ANSWER: 5 43. FREE FALL Assuming no air resistance, the time t in seconds that it takes an object to fall h feet can be eSolutions Manual - Powered by Cognero
determined by
. If a skydiver jumps from an airplane and free falls for 10 seconds before opening the
parachute, how many feet does she fall?
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42. ANSWER: Study Guide and Review - Chapter 10 5 43. FREE FALL Assuming no air resistance, the time t in seconds that it takes an object to fall h feet can be determined by
. If a skydiver jumps from an airplane and free falls for 10 seconds before opening the
parachute, how many feet does she fall? ANSWER: 1600 ft Determine whether each set of measures can be lengths of the sides of a right triangle. 44. 6, 8, 10 ANSWER: yes 45. 3, 4, 5 ANSWER: yes 46. 12, 16, 21 ANSWER: no 47. 10, 12, 15 ANSWER: no 48. 2, 3, 4 ANSWER: no 49. 7, 24, 25 ANSWER: yes 50. 5, 12, 13 ANSWER: yes 51. 15, 19, 23 ANSWER: no 52. LADDER A ladder is leaning on a building. The base of the ladder is 10 feet from the building, and the ladder reaches up 15 feet on the building. How long is the ladder? ANSWER: 18.0 ft eSolutions Manual - Powered by Cognero
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