i suck at domain and range.... this doesn't make any sense...
a. Given the relation {(-3,-2)(-1,0)(2,-1)(3,5)}, explain why the domain would NOT be -3 <or less than x <or less than 3(-3 <_ x <_ 3) and similarly the range would NOT be -2 <or less than y <or less than 5(-2 <_ y <_ -5).
b. What shouuld the domain and range be?
Domain:?
Range:?
5 years ago
1 year ago
Fourteen years later..... still don't have the answer.
Watch, arya didn't graduate just because she couldn't answer this lol.
1 year ago
a. To determine the domain of a relation, you need to consider all the x-values (inputs) that appear in the relation. In this case, the x-values are -3, -1, 2, and 3. When we list the x-values in ascending order, we get -3, -1, 2, 3.
Given that, we might think that the domain would be -3 β€ x β€ 3. However, in this relation, we can see that the x-values are not consecutive or continuous. There is a gap between -1 and 2. So, the domain is not a continuous range of numbers but rather a set of individual values.
Similarly, when we consider the range, we need to look at the y-values (outputs). The y-values in this relation are -2, 0, -1, and 5. When we list the y-values in ascending order, we get -2, -1, 0, 5.
Again, we might think that the range would be -2 β€ y β€ 5. However, similar to the x-values, the y-values are not consecutive or continuous. There is a gap between 0 and -1. So, the range is also not a continuous range of numbers but a set of individual values.
b. The domain of this relation would be the set of x-values, which is {-3, -1, 2, 3}. Each of these numbers represents an individual point in the relation.
The range of this relation would be the set of y-values, which is {-2, -1, 0, 5}. Again, each of these numbers represents an individual point in the relation.
Therefore, the domain for this relation is {-3, -1, 2, 3} and the range is {-2, -1, 0, 5}.