Question

Determine which relation is a function.


A.


{(–5, 1), (–5, 0), (–2, 1), (–1, 4), (6, 2)}


B.


{(–5, 1), (–2, 0), (–2, 2), (3, 4), (6, 2)}


C.


{(–5, 1), (–2, 0), (–1, 1), (2, 4), (6, 3)}


D.


{(–5, 3), (–2, 0), (–1, 2), (6, 4), (6, 3)}

Answer 1

@amistre64

Answer 2

how do you define a function?

Answer 3

special relationship between values?

Answer 4

yes, but what is so special about it ? :)

Answer 5

\[{(–5, 1), (–5, 0), (–2, 1), (–1, 4), (6, 2)}\]
\[g=\begin{pmatrix} x:&-5&-5&-2&-1&6\\y:&~1&~0&~1&~4&2 \end{pmatrix}\]

Answer 6

we have some x values that are the same, this can be simplified to:
\[g=\begin{pmatrix} x:&-5&-2&-1&6\\y:&1,0&~1&~4&2 \end{pmatrix}\]
now notice that for any given x value, we have the chance of getting more than 1 y value; therefore this is not a function

Answer 7

so the answer is a ?