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?

Options:
No, because the y-axis is a horizontal line.
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
Yes, because the y-axis represents all vertical lines of the x-values.

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JayIsJay JayIsJay · Answer 1 · 2021-09-15T19:33:51+02:00

Answer:

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

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MrRoyal MrRoyal · Answer 2 · 2021-09-21T17:42:33+02:00

The vertical line test is used to test if a function is a relation or not.

Shayla is not applying the test correctly, because her test will only check for x = 0

From the question, we understand that Shayla only checks if the relation is a function, at the y-axis.

This will not give her the true result, because the vertical line test needs to be tested at multiple points on the graph.

Hence, we can conclude that option (b) answers the question i.e.

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

See attachment for the illustration of the vertical line test, where lines other than the y-axis are used to test for functions.

Read more about vertical line test at:

https://brainly.com/question/24199529