3. Which graphical representation has a domain of all real numbers? Graph (1) Graph (2) 4 -2 Graph (3) Graph (4) 3 2- 12 34 5X -1- 54 32 -2- -3- 2. 4.
3. Which graphical representation has a domain of all real numbers? Graph (1) Graph (2) 4 -2 Graph (3) Graph (4) 3 2- 12 34 5X -1- 54 32 -2- -3- 2. 4.
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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![### Educational Content
**Question:**
3. Which graphical representation has a domain of all real numbers?
**Graphs:**
- **Graph (1)**:
- This graph features a series of discrete points plotted at various coordinates. The points' x and y-coordinates are:
- (-3, 2)
- (-2, -4)
- (-1, 1)
- (-1, -2)
- (0, 0)
- (1, 2)
- (2, 3)
- (3, 1)
- **Graph (2)**:
- This graph represents a line segment with endpoints. The line passes through the points:
- (-3, -3)
- (3, 3)
- The x-values in this segment are limited to the interval \([-3, 3]\).
- **Graph (3)**:
- This graph shows an arrow originating from a point and extending to infinity in the positive x-direction. The line appears to start from:
- (-3, 0)
- With an arrow pointing indefinitely to the right across the positive x-axis.
- This indicates that the domain begins from around x = -3 and extends infinitely to the right.
- **Graph (4)**:
- This graph depicts a diagonal line that extends infinitely in both the positive and negative x-directions.
- The line passes through:
- (-2, -2)
- (2, 2)
- Continues infinitely in both directions, indicating all real numbers are included in the domain.
### Explanation:
- Domains are the set of all x-values that a function can take.
- **Graph (4)**, representing a line that extends indefinitely in both directions, has a domain of all real numbers \((-\infty, +\infty)\). This means that for any real number x, there is a corresponding y-value on the line.
**Conclusion:** Graph (4) has a domain of all real numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39d59398-4789-4d27-a5be-d0cd6324ea81%2F26b9b103-92d5-4912-b756-4e499639de3a%2Fpu58tm8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Content
**Question:**
3. Which graphical representation has a domain of all real numbers?
**Graphs:**
- **Graph (1)**:
- This graph features a series of discrete points plotted at various coordinates. The points' x and y-coordinates are:
- (-3, 2)
- (-2, -4)
- (-1, 1)
- (-1, -2)
- (0, 0)
- (1, 2)
- (2, 3)
- (3, 1)
- **Graph (2)**:
- This graph represents a line segment with endpoints. The line passes through the points:
- (-3, -3)
- (3, 3)
- The x-values in this segment are limited to the interval \([-3, 3]\).
- **Graph (3)**:
- This graph shows an arrow originating from a point and extending to infinity in the positive x-direction. The line appears to start from:
- (-3, 0)
- With an arrow pointing indefinitely to the right across the positive x-axis.
- This indicates that the domain begins from around x = -3 and extends infinitely to the right.
- **Graph (4)**:
- This graph depicts a diagonal line that extends infinitely in both the positive and negative x-directions.
- The line passes through:
- (-2, -2)
- (2, 2)
- Continues infinitely in both directions, indicating all real numbers are included in the domain.
### Explanation:
- Domains are the set of all x-values that a function can take.
- **Graph (4)**, representing a line that extends indefinitely in both directions, has a domain of all real numbers \((-\infty, +\infty)\). This means that for any real number x, there is a corresponding y-value on the line.
**Conclusion:** Graph (4) has a domain of all real numbers.
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