The functions f(x) and g(x) are graphed below. -3 -2 5+ 4 3 2 1 -2 -3 -4 -5- Determine f(0) Determine g(0) Determine (f + g)(0) Determine f(1) = Determine g(1) = Determine (f g)( − 1) = Determine f(2)= - = = Determine g(2) Determine (g - f)(2) = Determine f(4) = = = Determine g(4) Determine (fg) (4) : = = = 5 4 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5- 2 3 4 5 d
The functions f(x) and g(x) are graphed below. -3 -2 5+ 4 3 2 1 -2 -3 -4 -5- Determine f(0) Determine g(0) Determine (f + g)(0) Determine f(1) = Determine g(1) = Determine (f g)( − 1) = Determine f(2)= - = = Determine g(2) Determine (g - f)(2) = Determine f(4) = = = Determine g(4) Determine (fg) (4) : = = = 5 4 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5- 2 3 4 5 d
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Analysis of Graphs: Functions \( f(x) \) and \( g(x) \)
The graphs of the functions \( f(x) \) and \( g(x) \) are plotted on two separate coordinate grids.
#### Graph of \( f(x) \) (Left Graph)
- **Points on the graph**:
- \( f(-5) = 0 \)
- \( f(-4) = 3 \)
- \( f(-2) = 3 \)
- \( f(0) = 2 \)
- \( f(3) = -5 \)
The graph begins at the x-axis and rises sharply to its maximum value at \( x = -4 \) and maintains this value until \( x = -2 \). The graph decreases slightly and then drops sharply down to \( -5 \) at \( x = 3 \).
#### Graph of \( g(x) \) (Right Graph)
- **Points on the graph**:
- \( g(-5) = 2 \)
- \( g(-3) = -4 \)
- \( g(1) = 4 \)
- \( g(3) = 0 \)
- \( g(5) = 3 \)
The graph decreases to a minimum point at \( x = -3 \) before increasing to its highest point at \( x = 1 \). It then decreases again to zero and finally rises to 3 as \( x \) approaches 5.
### Exercises
**Determine the following values:**
1. \( f(0) = \) [ ]
2. \( g(0) = \) [ ]
3. \( (f + g)(0) = \) [ ]
4. \( f(-1) = \) [ ]
5. \( g(-1) = \) [ ]
6. \( (f - g)(-1) = \) [ ]
7. \( f(2) = \) [ ]
8. \( g(2) = \) [ ]
9. \( (g - f)(2) = \) [ ]
10. \( f(4) = \) [ ]
11. \( g(4) = \) [ ]
12. \( (fg)(4) = \) [ ]
Fill in the blanks by reading the values directly from the graphs. The exercises involve evaluating the functions](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7a9d0ad-fec9-4f0d-b494-c459fdb0f55b%2Fc92e07c9-0567-4dc4-8a91-345c6991e65e%2Fl4zpoyi_processed.png&w=3840&q=75)
Transcribed Image Text:### Analysis of Graphs: Functions \( f(x) \) and \( g(x) \)
The graphs of the functions \( f(x) \) and \( g(x) \) are plotted on two separate coordinate grids.
#### Graph of \( f(x) \) (Left Graph)
- **Points on the graph**:
- \( f(-5) = 0 \)
- \( f(-4) = 3 \)
- \( f(-2) = 3 \)
- \( f(0) = 2 \)
- \( f(3) = -5 \)
The graph begins at the x-axis and rises sharply to its maximum value at \( x = -4 \) and maintains this value until \( x = -2 \). The graph decreases slightly and then drops sharply down to \( -5 \) at \( x = 3 \).
#### Graph of \( g(x) \) (Right Graph)
- **Points on the graph**:
- \( g(-5) = 2 \)
- \( g(-3) = -4 \)
- \( g(1) = 4 \)
- \( g(3) = 0 \)
- \( g(5) = 3 \)
The graph decreases to a minimum point at \( x = -3 \) before increasing to its highest point at \( x = 1 \). It then decreases again to zero and finally rises to 3 as \( x \) approaches 5.
### Exercises
**Determine the following values:**
1. \( f(0) = \) [ ]
2. \( g(0) = \) [ ]
3. \( (f + g)(0) = \) [ ]
4. \( f(-1) = \) [ ]
5. \( g(-1) = \) [ ]
6. \( (f - g)(-1) = \) [ ]
7. \( f(2) = \) [ ]
8. \( g(2) = \) [ ]
9. \( (g - f)(2) = \) [ ]
10. \( f(4) = \) [ ]
11. \( g(4) = \) [ ]
12. \( (fg)(4) = \) [ ]
Fill in the blanks by reading the values directly from the graphs. The exercises involve evaluating the functions
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