Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}

Step-by-step explanation:

Given

Required

Determine which is a function

A relation is divided into 2; (x,y)

Where x represents the range and y stands for the domain

For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x

Testing each of the given options

A.

Start by splitting the relation into x and y columns

Notice that the third and fourth relation has the same x value of 1;

Hence, this is not a function

B.

Start by splitting the relation into x and y columns

Notice that all relations has the same x value of -2;

Hence, this is also not a function

C.

Start by splitting the relation into x and y columns

Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;

Hence, this is also not a function

D.

Start by splitting the relation into x and y columns

Notice that relation has the unique x values of 8, 4, 0 and -15

Hence, this relation is a function