Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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![### Algebra and Functions: Modeling and Graph Analysis
#### Problem 6
The function \( p(t) \) models the attendance at a museum exhibit from the time it opens (9AM) to the time it closes 8 hours later.
![Graph of Function p(t)](https://www.example.com/graph1)
In the accompanying graph:
- **x-axis**: Represents the "Time Since 9:00 AM" in hours.
- **y-axis**: Represents the "Attendance (Number of People)."
##### Questions:
**6a. At what time(s) did the museum exhibit have the highest attendance? (F.IF.B.4)**
**6b. Describe what is happening in the interval between \( [1, 2.66] \) and \( [3, 5.0] \). (F.IF.B.4)**
**6c. Identify the zeros in this graph and explain what they mean in the context of this problem. (A.APR.B.3)**
#### Problem 7
Consider the function \( g(x) = 2(x - 4)(x - 2)(x - 2)(x + 4) \). Identify the zeros, then graph the function \( g(x) \). State the multiplicities, if any. (A.APR.B.3)
![Graph Paper for Function g(x)](https://www.example.com/graph2)
By analyzing and answering these questions, students will develop a deeper understanding of function modeling, graph interpretation, and application in real-world contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe78f7d0f-626d-4ef1-bc58-30bf6b75a3d5%2Fbbecdc8b-dad3-4087-9b2a-7ff286a4e9e6%2Fgmj2n9t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Algebra and Functions: Modeling and Graph Analysis
#### Problem 6
The function \( p(t) \) models the attendance at a museum exhibit from the time it opens (9AM) to the time it closes 8 hours later.
![Graph of Function p(t)](https://www.example.com/graph1)
In the accompanying graph:
- **x-axis**: Represents the "Time Since 9:00 AM" in hours.
- **y-axis**: Represents the "Attendance (Number of People)."
##### Questions:
**6a. At what time(s) did the museum exhibit have the highest attendance? (F.IF.B.4)**
**6b. Describe what is happening in the interval between \( [1, 2.66] \) and \( [3, 5.0] \). (F.IF.B.4)**
**6c. Identify the zeros in this graph and explain what they mean in the context of this problem. (A.APR.B.3)**
#### Problem 7
Consider the function \( g(x) = 2(x - 4)(x - 2)(x - 2)(x + 4) \). Identify the zeros, then graph the function \( g(x) \). State the multiplicities, if any. (A.APR.B.3)
![Graph Paper for Function g(x)](https://www.example.com/graph2)
By analyzing and answering these questions, students will develop a deeper understanding of function modeling, graph interpretation, and application in real-world contexts.
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