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The following relation is a function.
true or false
help me please

The following relation is a function. true or false help me please-example-1

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3 votes

Answer: False

Reason:

The x value x = 4 repeats itself. We have the input x = 4 lead to multiple outputs (y = 0 and y = 2) at the same time. This is enough evidence to conclude we do not have a function.

A function is only possible if any given input leads to exactly one output.

If you were to plot these points, then you should note (4,0) and (4,2) fail the vertical line test. To pass the vertical line test, it should be impossible to draw a single vertical line through more than one point.

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