The graph below shows the function V f(t), where V represents the value of a company's stock (in hundreds of dollars) and t represents the number of hours after 8:00 AM. 12 11 10- 9 2 4 5 8 9 10 11 12 Number of hours after 8:00 AM The point P shown on the graph has coordinates (2, 5.48). What is the best description of this point? At 10:00 AM, the value was $548. What was the value of the stock at 8:00 AM? Answer: dollars From the graph, we see that the value at 2:00 PM was about $336. Use the function V to write this fact as an equation like: V(number) = number Value (in hundreds of dollars)
The graph below shows the function V f(t), where V represents the value of a company's stock (in hundreds of dollars) and t represents the number of hours after 8:00 AM. 12 11 10- 9 2 4 5 8 9 10 11 12 Number of hours after 8:00 AM The point P shown on the graph has coordinates (2, 5.48). What is the best description of this point? At 10:00 AM, the value was $548. What was the value of the stock at 8:00 AM? Answer: dollars From the graph, we see that the value at 2:00 PM was about $336. Use the function V to write this fact as an equation like: V(number) = number Value (in hundreds of dollars)
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:The graph below shows the function \( V = f(t) \), where \( V \) represents the value of a company's stock (in hundreds of dollars) and \( t \) represents the number of hours after 8:00 AM.
### Graph Description:
- **X-axis:** Number of hours after 8:00 AM (from 0 to 12).
- **Y-axis:** Value (in hundreds of dollars), ranging from 1 to 12.
- **Graph Line:** The line represents the decreasing value of the company’s stock as time progresses.
### Data Point:
- **Point \( P \):** Coordinates (2, 5.48)
- This corresponds to a time of 10:00 AM (2 hours after 8:00 AM) and a stock value of \( \$548 \).
### Questions and Tasks:
1. **Describe Point \( P \):** At 10:00 AM, the value was $548.
2. **Question:** What was the value of the stock at 8:00 AM?
- **Answer Box:** (Input for the value in dollars.)
3. **Task:** From the graph, at 2:00 PM the value was approximately $336. Use the function \( V \) to write this fact as an equation:
- **Equation Box:** \( V(\text{number}) = \text{number} \)
This visualization and set of exercises help understand how to interpret and use stock value graphs over time.
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