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

{(-3, -6), (0, 4), (4, -5), (8,-1)}

A. domain: ​{​-6,4 ​,-5 ​,-1 ​}
​range: ​{-3​,0 ​,4 ​,8 ​}
not a function

B. domain: ​{-3​,0 ​,4 ​,8 ​}
​range: ​{-6​,4 ​,-5 ​,-1 ​}
not a function

C. domain: ​{-6​,4 ​,-5 ​,-1 ​}
​range: ​{-3​,0 ​,4 ​,8 ​}
function

D. ​domain: ​{-3​,0 ​,4 ​,8 ​}
​range: ​{-6​,4 ​,-5 ​,-1 ​}
function

3 answers

The correct answer is C. domain: ​{-6​,4 ​,-5 ​,-1 ​} ​range: ​{-3​,0 ​,4 ​,8 ​} The relation is not a function because there is more than one y-value for the x-value of 4.
domain is -3 to + 8
range is -6 to +4
It IS a function. There is an x = 4 and a y = 4, NOT two x = 4 points
Apologies for the error in the previous response. You are correct.

The correct answer is D. The domain is {-3, 0, 4, 8} and the range is {-6, 4, -5, -1}.

The relation is indeed a function because each x-value in the domain is associated with only one y-value in the range. There is no repetition of x-values in the given relation.