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}

{(-1,-2),(3,2),(-2,2),(0,2)}
{(-1,2),(3,-2),(0,1),(3,5)}
}(-1,2),(2,3),(3,-2),(-2,0)}

Answer 1

For a relation to be a function it must be
`<b>one-to-one or many-to-one.</b>`


`<b>One-to-many</b>` relation is not a function.

In the above options, C is
`<b>One-to-many</b>` 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


`<b>The correct answer is C</b>`