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

Oct 3, 2017

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

#### Explanation:

{ (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 $y = 0 \mathmr{and} y = 1$ i.e “one to many“.

Hence It is not a function. [Ans]