How do you use the vertical line test to determine whether ${(5,0), (0,5), (5,1), (1,5)}$ is a function?

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Answer 1 · 2017-10-03T11:57:23

“one to many“. Hence It is not a function.

${ (5,0) , (0,5) , (5,1) , (1,5) ,$

Here the Input values are $x=5 , x=0 ,x=5 ,x=1$ and

corresponding outputs are $y=0 , y=5 ,y=1 ,y=5 ,$

Vertical line test: A function is a type of equation that has exactly

one output (y) for every input (x). “many to one“ is a function but

“one to many“ is not a function. Here for input $x=5$ there are

two outputs $y=0 and y=1$ i.e “one to many“.

Hence It is not a function. [Ans]

How do you use the vertical line test to determine whether {(5,0), (0,5), (5,1), (1,5)}{(5,0), (0,5), (5,1), (1,5)} is a function?