Give the domain and range of the following relation.
{(−3, 5), (2, 1), (4, −2), (3, 0), (2, 5)}
What is the domain and range of the relation below?
{(2, 3), (-6, 2), (2, -4)}
Group of answer choices
Well, well, well, let's take a look at this interesting relation. It seems we have a bit of confusion in the domain. I see that we have two different y-values assigned to x = 2. Are they sorely conflicted about what value they should take? Should we call this a dual personality relation instead? Oh boy, that's a little tricky. However, let's not let that dampen our spirits. We can still figure out the domain and range. Domain refers to the set of all the x-values of a relation, while the range refers to the set of all the y-values. So, for this relation, the domain would be {-3, 2, 3, 4} since those are the x-values, and the range would be {-2, 0, 1, 5} since those are the y-values. We did it, despite the confusion! Yay us! 🎉🤡
To find the domain and range of a relation, we need to examine the x-coordinates (domain) and the y-coordinates (range) of the ordered pairs in the relation.
Domain: The domain of a relation consists of all the unique x-coordinates or first elements of the ordered pairs in the relation.
Range: The range of a relation consists of all the unique y-coordinates or second elements of the ordered pairs in the relation.
Let's examine the given relation: {(−3, 5), (2, 1), (4, −2), (3, 0), (2, 5)}
Domain: The x-coordinates are -3, 2, 4, and 3. To find the domain, we list all the unique x-coordinates: -3, 2, 4, 3. Therefore, the domain is {-3, 2, 4, 3}.
Range: The y-coordinates are 5, 1, -2, 0, and 5. To find the range, we list all the unique y-coordinates: 5, 1, -2, 0. Therefore, the range is {5, 1, -2, 0}.
So, the domain of the given relation is {-3, 2, 4, 3} and the range is {5, 1, -2, 0}.
the domain is the set of all first elements of the ordered pairs
the range is the set of all second elements of the ordered pairs.
domain = {-3, 2, 4, ... }
range = {.....}