The rate, \( r(t) \), of the volume of water, in millions of tons, in a reservoir \( t \) years after 1990 as a function of time \( t \) in years is given by the graph below. **Graph Description:** - The graph plots \( r(t) \) on the vertical axis and \( t \) (years) on the horizontal axis. - The graph starts at the origin (0,0). - At \( t = 2 \), \( r(t) \) reaches a maximum of 4. - At \( t = 5 \), \( r(t) \) sharply reaches a minimum of -4. - At \( t = 10 \), \( r(t) \) returns to 0. **Graph Segments:** 1. From \( t = 0 \) to \( t = 2 \), the graph rises from 0 to 4. 2. From \( t = 2 \) to \( t = 4 \), the graph decreases from 4 to 0. 3. From \( t = 4 \) to \( t = 5 \), the graph further decreases to -4. 4. From \( t = 5 \) to \( t = 10 \), the graph increases back to 0. **Question:** Which of the following statements is true? Select all correct answers. - [ ] The volume of water decreased between 1990 and 1996. - [ ] The volume of water in 2000 is larger than the volume of water in 1990. - [ ] The volume of water in 1996 is equal to the volume of water in 1992. - [ ] The volume of water increased for the first four years after 1990. - [ ] The volume of water decreased between 1994 and 2000. - [ ] None of the others are correct.
The rate, \( r(t) \), of the volume of water, in millions of tons, in a reservoir \( t \) years after 1990 as a function of time \( t \) in years is given by the graph below. **Graph Description:** - The graph plots \( r(t) \) on the vertical axis and \( t \) (years) on the horizontal axis. - The graph starts at the origin (0,0). - At \( t = 2 \), \( r(t) \) reaches a maximum of 4. - At \( t = 5 \), \( r(t) \) sharply reaches a minimum of -4. - At \( t = 10 \), \( r(t) \) returns to 0. **Graph Segments:** 1. From \( t = 0 \) to \( t = 2 \), the graph rises from 0 to 4. 2. From \( t = 2 \) to \( t = 4 \), the graph decreases from 4 to 0. 3. From \( t = 4 \) to \( t = 5 \), the graph further decreases to -4. 4. From \( t = 5 \) to \( t = 10 \), the graph increases back to 0. **Question:** Which of the following statements is true? Select all correct answers. - [ ] The volume of water decreased between 1990 and 1996. - [ ] The volume of water in 2000 is larger than the volume of water in 1990. - [ ] The volume of water in 1996 is equal to the volume of water in 1992. - [ ] The volume of water increased for the first four years after 1990. - [ ] The volume of water decreased between 1994 and 2000. - [ ] None of the others are correct.
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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![The rate, \( r(t) \), of the volume of water, in millions of tons, in a reservoir \( t \) years after 1990 as a function of time \( t \) in years is given by the graph below.
**Graph Description:**
- The graph plots \( r(t) \) on the vertical axis and \( t \) (years) on the horizontal axis.
- The graph starts at the origin (0,0).
- At \( t = 2 \), \( r(t) \) reaches a maximum of 4.
- At \( t = 5 \), \( r(t) \) sharply reaches a minimum of -4.
- At \( t = 10 \), \( r(t) \) returns to 0.
**Graph Segments:**
1. From \( t = 0 \) to \( t = 2 \), the graph rises from 0 to 4.
2. From \( t = 2 \) to \( t = 4 \), the graph decreases from 4 to 0.
3. From \( t = 4 \) to \( t = 5 \), the graph further decreases to -4.
4. From \( t = 5 \) to \( t = 10 \), the graph increases back to 0.
**Question:**
Which of the following statements is true? Select all correct answers.
- [ ] The volume of water decreased between 1990 and 1996.
- [ ] The volume of water in 2000 is larger than the volume of water in 1990.
- [ ] The volume of water in 1996 is equal to the volume of water in 1992.
- [ ] The volume of water increased for the first four years after 1990.
- [ ] The volume of water decreased between 1994 and 2000.
- [ ] None of the others are correct.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dcc51e9-e947-4215-91cf-9c9e09d6c1cf%2F001e1938-6cc0-4164-ae1d-cd50ca56ce95%2Fz33pkfr_processed.png&w=3840&q=75)
Transcribed Image Text:The rate, \( r(t) \), of the volume of water, in millions of tons, in a reservoir \( t \) years after 1990 as a function of time \( t \) in years is given by the graph below.
**Graph Description:**
- The graph plots \( r(t) \) on the vertical axis and \( t \) (years) on the horizontal axis.
- The graph starts at the origin (0,0).
- At \( t = 2 \), \( r(t) \) reaches a maximum of 4.
- At \( t = 5 \), \( r(t) \) sharply reaches a minimum of -4.
- At \( t = 10 \), \( r(t) \) returns to 0.
**Graph Segments:**
1. From \( t = 0 \) to \( t = 2 \), the graph rises from 0 to 4.
2. From \( t = 2 \) to \( t = 4 \), the graph decreases from 4 to 0.
3. From \( t = 4 \) to \( t = 5 \), the graph further decreases to -4.
4. From \( t = 5 \) to \( t = 10 \), the graph increases back to 0.
**Question:**
Which of the following statements is true? Select all correct answers.
- [ ] The volume of water decreased between 1990 and 1996.
- [ ] The volume of water in 2000 is larger than the volume of water in 1990.
- [ ] The volume of water in 1996 is equal to the volume of water in 1992.
- [ ] The volume of water increased for the first four years after 1990.
- [ ] The volume of water decreased between 1994 and 2000.
- [ ] None of the others are correct.
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