### 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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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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Question

### 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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