DO NOW: Determine if each graph represents a function.

Algebra and Trigonometry (6th Edition)
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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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### DO NOW: Determine if each graph represents a function.

#### Graph Descriptions:

##### Graph 1: 
The first graph consists of a series of discrete points. These points appear to form a somewhat vertical pattern, increasing from left to right. Each x-value corresponds to exactly one y-value, indicating that this graph represents a function. Specifically:
- On the left, the points are closer together and become more spaced out as we move to the right.

##### Graph 2:
The second graph shows two lines forming a 'V' shape, converging at the origin (0,0). Both lines extend indefinitely. This graph does not represent a function, as there are multiple y-values for a single x-value for all x ≠ 0. Specifically:
- Both arms of the 'V' intersect the y-axis at different points, violating the vertical line test.

##### Graph 3:
The third graph displays a single straight line that passes through the origin and extends in both directions. This graph represents a function, as each x-value has a unique y-value, satisfying the vertical line test. Specifically:
- The line slopes upward from left to right, indicating a positive relationship between x and y values.

### Summary:
1. **First Graph**: Represents a function (discrete points with unique y-values for each x).
2. **Second Graph**: Does not represent a function (‘V’ shape with multiple y-values for single x-values).
3. **Third Graph**: Represents a function (continuous line passing through the origin with unique y-values for each x-value).
Transcribed Image Text:### DO NOW: Determine if each graph represents a function. #### Graph Descriptions: ##### Graph 1: The first graph consists of a series of discrete points. These points appear to form a somewhat vertical pattern, increasing from left to right. Each x-value corresponds to exactly one y-value, indicating that this graph represents a function. Specifically: - On the left, the points are closer together and become more spaced out as we move to the right. ##### Graph 2: The second graph shows two lines forming a 'V' shape, converging at the origin (0,0). Both lines extend indefinitely. This graph does not represent a function, as there are multiple y-values for a single x-value for all x ≠ 0. Specifically: - Both arms of the 'V' intersect the y-axis at different points, violating the vertical line test. ##### Graph 3: The third graph displays a single straight line that passes through the origin and extends in both directions. This graph represents a function, as each x-value has a unique y-value, satisfying the vertical line test. Specifically: - The line slopes upward from left to right, indicating a positive relationship between x and y values. ### Summary: 1. **First Graph**: Represents a function (discrete points with unique y-values for each x). 2. **Second Graph**: Does not represent a function (‘V’ shape with multiple y-values for single x-values). 3. **Third Graph**: Represents a function (continuous line passing through the origin with unique y-values for each x-value).
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