Question

Which set of ordered pairs in the form of (x,y) does not represent a function of x? {(-1,2), (3,-2),(0,1),(5,2}

Answer 1

For a relation to be a function it must be $one-to-one or many-to-one.$

$One-to-many$ relation is not a function.

In the above options, C is $One-to-many$ relation therefore cannot be a function.

The reason is that 3 alone maps onto -2 and 5, in the ordered pairs (3,-2) and (3,5). This disqualifies it from being a function.

Hence the graph of this relation will not pass the vertical line test

$The correct answer is C$