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
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.
To find the domain and the range of the relation, we need to look at the given set of ordered pairs: {(-3, -6), (0, 4), (4, -5), (8,-1)}.
The domain of a relation is the set of all x-values or the first element of each ordered pair. So, the domain is {-3, 0, 4, 8}.
The range of a relation is the set of all y-values or the second element of each ordered pair. So, the range is {-6, 4, -5, -1}.
Next, we need to determine whether the relation is a function. A relation is considered a function when each distinct x-value corresponds to only one y-value within the relation.
Looking at the ordered pairs, we can see that each x-value (or domain element) has a unique y-value (or range element) associated with it. Hence, the relation is a function.
Therefore, the correct answer is option D.
domain: {-3, 0, 4, 8}
range: {-6, 4, -5, -1}
function