апа upplied to them. A transformation is an grup. There are three types of transformations: translations, four transformation variables (a. b. h. and k). , and dilations. When a function has a transformation applied it can be either vertical (affects the y-values) or horizontal (affects the x-values). Below is an equation of a function that contains the and h Part II: Analysis 5) How many seconds does the roller coaster last? 16 Seconds roller coaster to reach maximum height? 6) What is the roller coaster's starting height? How many seconds does it take the 12 Seconds. Starting ground level 7 10 ft - 80 ft 16 seconds 7) Describe what the roller coaster is doing in the interval 7

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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апа
upplied to them. A transformation is an
grup. There are three types of transformations: translations,
four transformation variables (a. b. h. and k).
, and dilations. When a function has a transformation applied it can be either vertical (affects
the y-values) or horizontal (affects the x-values). Below is an equation of a function that contains the
and h
Part II: Analysis
5) How many seconds does the roller coaster last?
16 Seconds
roller coaster to reach maximum height?
6) What is the roller coaster's starting height? How many seconds does it take the
12 Seconds.
Starting
ground level 7 10 ft
-
80 ft 16 seconds
7) Describe what the roller coaster is doing in the interval 7<x<9.
decreasing
8) Use your knowledge of function notation and piecewise functions to determine the
following:
a. f(10) = 9
i.
Explain what this value means in real world context.
The height of the roller coster at 10 seconds
b. f(20) =
i. Explain what this value means in real world context.
ed?
fected?
ver or wid
The coaster at 20 seconds
height of the roller
or y-
ffected?
y by a
y by a
<by-
by
1-61-b
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:апа upplied to them. A transformation is an grup. There are three types of transformations: translations, four transformation variables (a. b. h. and k). , and dilations. When a function has a transformation applied it can be either vertical (affects the y-values) or horizontal (affects the x-values). Below is an equation of a function that contains the and h Part II: Analysis 5) How many seconds does the roller coaster last? 16 Seconds roller coaster to reach maximum height? 6) What is the roller coaster's starting height? How many seconds does it take the 12 Seconds. Starting ground level 7 10 ft - 80 ft 16 seconds 7) Describe what the roller coaster is doing in the interval 7<x<9. decreasing 8) Use your knowledge of function notation and piecewise functions to determine the following: a. f(10) = 9 i. Explain what this value means in real world context. The height of the roller coster at 10 seconds b. f(20) = i. Explain what this value means in real world context. ed? fected? ver or wid The coaster at 20 seconds height of the roller or y- ffected? y by a y by a <by- by 1-61-b 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?
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