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Part II: Analysis 5) How many seconds does the roller coaster last? 6) What is the roller coaster's starting height? How many seconds does it take the roller coaster to reach maximum height? 7) Describe what the roller coaster is doing in the interval 7

Part II: Analysis 5) How many seconds does the roller coaster last? 6) What is the roller coaster's starting height? How many seconds does it take the roller coaster to reach maximum height? 7) Describe what the roller coaster is doing in the interval 7

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Part II: Analysis 5) How many seconds does the roller coaster last? 6) What is the roller coaster's starting height? How many seconds does it take the roller coaster to reach maximum height? 7) Describe what the roller coaster is doing in the interval 7 <x < 9. 8) Use your knowledge of function notation and piecewise functions to determine the following: a. f(10) = i. Explain what this value means in real world context. b. f(20) = i. Explain what this value means in real world context. c. If 16 seconds have passed since the roller coaster started, what is the height of the roller coaster? Bonus: When does the roller coaster reach 100 feet above the ground?
Transcribed Image Text:Part II: Analysis 5) How many seconds does the roller coaster last? 6) What is the roller coaster's starting height? How many seconds does it take the roller coaster to reach maximum height? 7) Describe what the roller coaster is doing in the interval 7 <x < 9. 8) Use your knowledge of function notation and piecewise functions to determine the following: a. f(10) = i. Explain what this value means in real world context. b. f(20) = i. Explain what this value means in real world context. c. If 16 seconds have passed since the roller coaster started, what is the height of the roller coaster? Bonus: When does the roller coaster reach 100 feet above the ground?
Röller Coas Congratulations! You've graduated college as a Physics & Mathematics double major, and you've scored your dream job working at Six Flags to help them design new roller coasters. In the graph below, you will see that your boss has started developing the plan for a new roller coaster - THE TigER - but needs you to finish the job. Answer the questions below based on the given piecewise function and the graph that is attached. Given: The function f(x) will model the roller coaster's height from the ground in feet over time, measured in seconds since the ride started. 0<x < 4 4 < x < 7 7 < x < 9 9 <x < 12 D E 5(2)*, -5x2 + 40x, 35, -5(x – 12)2 + 80, f(x) = 12 < x < 15 15 < x < 17 F 17 < x < 23 G 23 <x < 25 H 25 < x < 27 I 2.5x - 22.5, -15x + 380, 5, Part I: Graphing 1) Graph the boundary lines for this function on the provided graph paper. 2) Based on the graph provided, use points on the line to determine the function for Part E. 3) Based on the graph provided, determine the function for Part F. 4) Graph parts A, B, C, D, G, H, and I on the graph paper. ABC
Transcribed Image Text:Röller Coas Congratulations! You've graduated college as a Physics & Mathematics double major, and you've scored your dream job working at Six Flags to help them design new roller coasters. In the graph below, you will see that your boss has started developing the plan for a new roller coaster - THE TigER - but needs you to finish the job. Answer the questions below based on the given piecewise function and the graph that is attached. Given: The function f(x) will model the roller coaster's height from the ground in feet over time, measured in seconds since the ride started. 0<x < 4 4 < x < 7 7 < x < 9 9 <x < 12 D E 5(2)*, -5x2 + 40x, 35, -5(x – 12)2 + 80, f(x) = 12 < x < 15 15 < x < 17 F 17 < x < 23 G 23 <x < 25 H 25 < x < 27 I 2.5x - 22.5, -15x + 380, 5, Part I: Graphing 1) Graph the boundary lines for this function on the provided graph paper. 2) Based on the graph provided, use points on the line to determine the function for Part E. 3) Based on the graph provided, determine the function for Part F. 4) Graph parts A, B, C, D, G, H, and I on the graph paper. ABC
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