To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.

Is Shayla applying the vertical line test correctly?

Question

Jack Galloway

Mathematics

9 December, 06:49

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.

Is Shayla applying the vertical line test correctly?

+1

Answers (1)

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Paulina Potter · Answer 1

1)

No, because the y-axis is a horizontal line. 2)

. No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

. 3) Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0. D. 4)

Yes, because the y-axis represents all vertical lines of the x-values.