Modeling with Piecewise Linear Functions Many relationships that we observe do not fit a simple algebraic function. Instead, we might need to piece together several functions in order to match what we are observing. Here is an example: The graph below shows the amount of gravel in a dump truck (in tons) as a function of time (in minutes). 20 Gravel (tons) 15 10- Ņ 5 Time (mins) 2 4 6 8 10 12 14 16 18 20 22 a) Describe in detail what you see happening in context (i.e. talk about the dump truck) Edit Insert Formats B IUX, X² A E = = =·· .. Ad 3 3 b) Write a piecewise function G = f(t) for the function above. You can type it out the best you can, or upload a photo of your written answer. Edit Insert Formats B IU X₂ X² = = = 洪·· .. Σ+ Σ ρω
Modeling with Piecewise Linear Functions Many relationships that we observe do not fit a simple algebraic function. Instead, we might need to piece together several functions in order to match what we are observing. Here is an example: The graph below shows the amount of gravel in a dump truck (in tons) as a function of time (in minutes). 20 Gravel (tons) 15 10- Ņ 5 Time (mins) 2 4 6 8 10 12 14 16 18 20 22 a) Describe in detail what you see happening in context (i.e. talk about the dump truck) Edit Insert Formats B IUX, X² A E = = =·· .. Ad 3 3 b) Write a piecewise function G = f(t) for the function above. You can type it out the best you can, or upload a photo of your written answer. Edit Insert Formats B IU X₂ X² = = = 洪·· .. Σ+ Σ ρω
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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Transcribed Image Text:Modeling with Piecewise Linear Functions
Many relationships that we observe do not fit a simple algebraic function. Instead, we might need to piece
together several functions in order to match what we are observing. Here is an example:
The graph below shows the amount of gravel in a dump truck (in tons) as a function of time (in minutes).
20
Gravel (tons)
15
10-
Ņ
5
Time (mins)
2 4 6 8 10 12 14 16 18 20 22
a) Describe in detail what you see happening in context (i.e. talk about the dump truck)
Edit Insert Formats B IUX, X² A
E = = =··
..
Ad 3 3
b) Write a piecewise function G = f(t) for the function above. You can type it out the best you can, or
upload a photo of your written answer.
Edit Insert Formats B IU X₂ X²
= = = 洪··
..
Σ+ Σ ρω
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