7. Consider the function g(x)-2(x+4)(x-2)(x+4). Identify the zeros, then graph the function g(x). State the multiplicities, if any. (A.APR.B. 3)

Trigonometry (MindTap Course List)
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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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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.
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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