Use the vertical line test to determine if y is a function of x in the graph. Which of the following statements is correct? O O y is a function of x y is not a function of x- CHI point(s) possible

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 Exercise: Vertical Line Test to Determine if y is a Function of x**

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### Instructions

Use the vertical line test to determine if \( y \) is a function of \( x \) in the graph.

### Diagram Description

The diagram on the right shows a graph with the vertical and horizontal axes labeled \( y \) and \( x \) respectively. The graph depicts two curves, one pointing upwards and the other pointing downwards, suggesting that they might intersect the vertical line at more than one point.

### Question

Which of the following statements is correct?

- \( \circ \) \( y \) is a function of \( x \)
- \( \circ \) \( y \) is not a function of \( x \)

Click "Next" to submit your answer.

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### Vertical Line Test

The vertical line test is a method used to determine if a relation is a function. If a vertical line intersects a graph at more than one point, then the relation is not a function. If it intersects the graph at only one point at all locations, then the relation is a function.

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**Conclusion:** Analyze the provided graph using the vertical line test and select the correct statement.
Transcribed Image Text:**Educational Exercise: Vertical Line Test to Determine if y is a Function of x** --- ### Instructions Use the vertical line test to determine if \( y \) is a function of \( x \) in the graph. ### Diagram Description The diagram on the right shows a graph with the vertical and horizontal axes labeled \( y \) and \( x \) respectively. The graph depicts two curves, one pointing upwards and the other pointing downwards, suggesting that they might intersect the vertical line at more than one point. ### Question Which of the following statements is correct? - \( \circ \) \( y \) is a function of \( x \) - \( \circ \) \( y \) is not a function of \( x \) Click "Next" to submit your answer. --- ### Vertical Line Test The vertical line test is a method used to determine if a relation is a function. If a vertical line intersects a graph at more than one point, then the relation is not a function. If it intersects the graph at only one point at all locations, then the relation is a function. --- **Conclusion:** Analyze the provided graph using the vertical line test and select the correct statement.
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