Find the domain and the range of the relation. Determine whether the relation is a function.

{ (-1,0), (7,0), (-1,9), (-6,-9) }

In a relation h (x) = y, the values of x are the domain and the values of y are the range.

Here the domain is:

D = {-6, - 1, 7}

The range is:

R = {-9, 0, 9}

Now, a relation f (x) = y is a function only if for every x in the domain we have only and only one value in the range.

Here we can see that for the value - 1 in the domain we have two different values in the range:

(-1, 0) and (-1, 9)

So this can not be a function.

(If you want to take the variable as y, you also have that the value y = 0 leads to two different values in x, so this cant be a function either)