4
QuizMultiple Choice

Introduction to Functions — Quiz

Question 4 • Mathematics 8

Which statement is a correct interpretation of the vertical line test?

Answer
A
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function.
B
If any vertical line can intersect the graph at more than one point, the graph represents a function.
C
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
D
If only one vertical line intersects the graph at exactly one point, the graph represents a function.

Explanation

The vertical line test checks whether each x-value corresponds to at most one y-value. If even one vertical line intersects the graph at more than one point, the same x-value has multiple y-values, so the graph does not represent a function. Therefore, choice C is correct.

AI-written and checked against the verified answer.

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