Question

H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why?.

Answer 1

Answer:

Yes, each x-value has a unique y-value.

Step-by-step explanation:

This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.

Your graph does not have overlaps and each x-value has a unique y-value

VLT

The vertical line test (VLT) is a simple method that mathematicians made because they were lazy to make a table of values and find duplicates.

• Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point.
• Failing the VLT would mean that the vertical line

A quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.

-Chetan K

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