What is the domain of R: {(6, −2), (1, 2), (−3, −4), (−3, 2)} ?

Question

Abigail Allen · Accepted Answer

#\emptyset# If you're studying #(x, f(x))#, then the domain is the first cohordinate. dom # f = {6, 1, -3, -3} \Rightarrow # indefinition at #-3# Elsif you're studying #(g(x), x)#, then the domain is the second cohordinate. dom # g = {-2, 2, -4, 2} \Rightarrow # indefinition at #+2#

Kennedy Adams · Answer

The domain of the relation is: {-3, 1, 6}.

The collection of all numbers that appear first in an ordered pair within a relation is known as the domain of that relation. For #R = {(6, -2), (1, 2), (-3, -4), (-3, 2)}#, the first elements are #6#, #1#, #-3# and #-3# again. Regardless of the repetition or presentation order, a set's elements, or the items that comprise it, are what define it entirely. As a result, the set: #{6, 1, -3, -3}# is exactly the same set as the set: {-3, 1, 6}. I've just decided to write the domain's components in ascending order. By the way, this relation is not a function because it contains two distinct pairs with the same first element.

Ethan Adkins · Answer

undefined The domain of the relation R is {-3, 1, 6}.

Julia Adams · Answer

undefined The domain of the relation $ R: \{(6, -2), (1, 2), (-3, -4), (-3, 2)\} $ is the set of all x-values in the ordered pairs. Therefore, the domain of $ R $ is $ \{6, 1, -3\} $.