Questions: End-of-Semester Test: Semester Exam 25 Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test. B. No, the graph fails the vertical line test. C. No, there are y-values that have more than one x-value. D. Yes, there are no y-values that have more than one x-value.

End-of-Semester Test: Semester Exam 25 Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test. B. No, the graph fails the vertical line test. C. No, there are y-values that have more than one x-value. D. Yes, there are no y-values that have more than one x-value.
Transcript text: End-of-Semester Test: Semester Exam 25 Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test. B. No, the graph fails the vertical line test. C. No, there are y-values that have more than one x-value. D. Yes, there are no y-values that have more than one x-value.
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Solution

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Solution Steps

Step 1: Apply the Vertical Line Test

The vertical line test states that if a vertical line intersects a graph more than once, then the graph does not represent a function. In this case, any vertical line drawn on the given graph will only intersect the graph at most one time.

Step 2: Analyze the Options

Option A states the graph passes the vertical line test, which is correct. Option B is incorrect as the graph does pass the test. Options C and D discuss y-values having more than one x-value. Although correct for this graph, this is not the proper justification for it being a function. The vertical line test is the correct method for this determination.

Final Answer:

\\(\boxed{A}\)

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