Question

The domain of the following relation: R {(6, -2), (1, 2), (-3, -4), (-3, 2)} is

{-3, -3, 1, 6}

{-4, -2, 2, 2}

{-4, -2, 2}

{-3, 1, 6}

Answer 1

Hello,

A pairing of elements of one set with elements of a second set is called a relation.
Example:
\[(2, 2)\]
The first element of an ordered pair is the abscissa. The set of abscissas is called the domain of the relation. So the abscissa is the \(x\) in the ordered pair of: \((x,y)\).

The second elements of an ordered pair is the ordinate. The set of ordinates is called the range of the relation.
The ordinate is the \(y\) in the ordered pair of: \((x,y)\).

Fun note, generally set \(D\) and \(R\) are used to notate domain and range.

@Kidthatbro8 do you understand me so far?

Answer 2

yes, i think i do.

Answer 3

would it be D, then ?

Answer 4

It would not be answer choice D, since question asks for all of the domains.

Notice the numbers that are bold:
\[R {(\textbf{6}, -2), (\textbf{1}, 2), (\textbf{-3}, -4), (\textbf{-3}, 2)}\]

Those that are bold are the set of abscissas aka the domain. So now order them into a set and we have:
\[D \in \text{{-3, -3, 1, 6}}\]

Answer 5

oh, okay, thank you ! really, you were so much help c:

Answer 6

You are welcome, I was glad to be of some help.

Peace.