## Question 6 ### Is the following relation a function? (1 point) The image displays a graph with a purple curve plotted against a grid. The x-axis and y-axis are marked with numbers ranging from -3 to 3. The curve oscillates, showing peaks and troughs, and passes through points with the following approximate coordinates: - Peaks around (0.5, 2) and (2.5, 2) - Troughs around (-1.5, -2) and (1.5, -2) This curve crosses the vertical line test at multiple points along its oscillations, indicating that it is not a function because for some x-values, there are multiple y-values. #### Options: - ○ Yes - ○ No The correct answer is **No**, as the relation is not a function based on the vertical line test.
## Question 6 ### Is the following relation a function? (1 point) The image displays a graph with a purple curve plotted against a grid. The x-axis and y-axis are marked with numbers ranging from -3 to 3. The curve oscillates, showing peaks and troughs, and passes through points with the following approximate coordinates: - Peaks around (0.5, 2) and (2.5, 2) - Troughs around (-1.5, -2) and (1.5, -2) This curve crosses the vertical line test at multiple points along its oscillations, indicating that it is not a function because for some x-values, there are multiple y-values. #### Options: - ○ Yes - ○ No The correct answer is **No**, as the relation is not a function based on the vertical line test.
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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Transcribed Image Text:## Question 6
### Is the following relation a function? (1 point)
The image displays a graph with a purple curve plotted against a grid. The x-axis and y-axis are marked with numbers ranging from -3 to 3. The curve oscillates, showing peaks and troughs, and passes through points with the following approximate coordinates:
- Peaks around (0.5, 2) and (2.5, 2)
- Troughs around (-1.5, -2) and (1.5, -2)
This curve crosses the vertical line test at multiple points along its oscillations, indicating that it is not a function because for some x-values, there are multiple y-values.
#### Options:
- ○ Yes
- ○ No
The correct answer is **No**, as the relation is not a function based on the vertical line test.
Expert Solution
Step 1: Horizontal axis is x and Vertical axis is y.
We can see in the given graph that at x=0, y=0.
The maximum value at y axis is 1and minimum value at y axis is -1.
The graph is repeated in 2 units of x.
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Solved in 2 steps
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