Given: The function f(x) will model the roller coaster's height from the ground in feet based on time measured in seconds since the ride started, What type of function is this? (constant, line, quadratic, f(x) Subdomain exponential, other) Range 5(2)*, 0sx<4 expunt ial 0 sys35 quadratic Tine -5x +40x, 4sx<7 B syslad O sys 35 35, 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3) Determine the boundaries needed for the graph.
What is the overall domain? 26
What is the overall range? 33
4) Prepare the graph (tape two pieces of graph paper together to make a larger graph).
a. Label your graph with what the x-axis represents, what the y-axis represents,
and give your graph a title, which includes a description of the graph, plus
your name and date.
b. Label the graph with the appropriate units so that the graph fills up more
than half of the paper in each direction, but doesn't extend past the end of
the graph. Use what you learned in the review packet to assign how many
boxes to assign to each unit of input (or vice versa).
5) Graph parts A, B, C, D, G, H, and I on the graph paper. (Label end point values, and
use what you know about the equations to fill in at least two points in between).
6) Based on the graph provided, create a function for Part E on the list, and write the
equation and information about it on page 1. (Make sure it connects to D
smoothly!)
a. (Hint: draw a shape you want the coaster to look like, then use what you
reviewed in the review packet about different types of equations to come up
with an equation for it. You may use Desmos.com to play around to find a
suitable equation to create your part of the graph.)
7) Based on the graph so far, create a function for Part F on the list, and write the
equation on page 1. (Make sure it connects to E and G smoothly!)
1: Analysis – Consult your final graph and packet for needed information.
8) How many seconds does the roller coaster last?
9) What is the roller coaster's starting height? How many seconds does it take the
roller coaster to reach maximum height? sarting heiaht-s
Acight
0) Describe what the roller coaster is doing in the interval 7<x<9.
Transcribed Image Text:3) Determine the boundaries needed for the graph. What is the overall domain? 26 What is the overall range? 33 4) Prepare the graph (tape two pieces of graph paper together to make a larger graph). a. Label your graph with what the x-axis represents, what the y-axis represents, and give your graph a title, which includes a description of the graph, plus your name and date. b. Label the graph with the appropriate units so that the graph fills up more than half of the paper in each direction, but doesn't extend past the end of the graph. Use what you learned in the review packet to assign how many boxes to assign to each unit of input (or vice versa). 5) Graph parts A, B, C, D, G, H, and I on the graph paper. (Label end point values, and use what you know about the equations to fill in at least two points in between). 6) Based on the graph provided, create a function for Part E on the list, and write the equation and information about it on page 1. (Make sure it connects to D smoothly!) a. (Hint: draw a shape you want the coaster to look like, then use what you reviewed in the review packet about different types of equations to come up with an equation for it. You may use Desmos.com to play around to find a suitable equation to create your part of the graph.) 7) Based on the graph so far, create a function for Part F on the list, and write the equation on page 1. (Make sure it connects to E and G smoothly!) 1: Analysis – Consult your final graph and packet for needed information. 8) How many seconds does the roller coaster last? 9) What is the roller coaster's starting height? How many seconds does it take the roller coaster to reach maximum height? sarting heiaht-s Acight 0) Describe what the roller coaster is doing in the interval 7<x<9.
ster Project-Investigate Piecewise Functions
Congratulations! You've graduated college as a Physics and Mathematics double major, and you've
Secured your dreamjob 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. Answerthe questions below based on the given piecewise function and the
graph that you will create.
Given: The function f(x) will model the roller coaster's height from the ground in feet based on time
measured in seconds since the ride started,
What type of function is this?
(constant, line, quadratic,
exponential, other)
Subdomain
(x)
5(2)*, 0<x<4
Range
exeuntial
Ge sAs o
syslad
SA5
-5x² +40x, 43x<7
B
35, 7<x<9
C.
5(x-12) +80, 9<x<12 D
गणा
12sx<15 E
15sx<17 F
2.5x-22.5, 17<x<23 G
-15x+380, 23sx<25 H
5, 25<xs27 1
Constunt
Line
डात्रुदध
syS5
rt I: Preparation
Complete the review packet
rt II: Graphing
1) Determine the type of function for each equation function above, and fill that in the
space provided. (except for E and F which you will fill in later).
2) Using what you know about each function, determine the range for each equation
above, and fill that in the space provided. (except for E and F which you will fill in
later).
Transcribed Image Text:ster Project-Investigate Piecewise Functions Congratulations! You've graduated college as a Physics and Mathematics double major, and you've Secured your dreamjob 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. Answerthe questions below based on the given piecewise function and the graph that you will create. Given: The function f(x) will model the roller coaster's height from the ground in feet based on time measured in seconds since the ride started, What type of function is this? (constant, line, quadratic, exponential, other) Subdomain (x) 5(2)*, 0<x<4 Range exeuntial Ge sAs o syslad SA5 -5x² +40x, 43x<7 B 35, 7<x<9 C. 5(x-12) +80, 9<x<12 D गणा 12sx<15 E 15sx<17 F 2.5x-22.5, 17<x<23 G -15x+380, 23sx<25 H 5, 25<xs27 1 Constunt Line डात्रुदध syS5 rt I: Preparation Complete the review packet rt II: Graphing 1) Determine the type of function for each equation function above, and fill that in the space provided. (except for E and F which you will fill in later). 2) Using what you know about each function, determine the range for each equation above, and fill that in the space provided. (except for E and F which you will fill in later).
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