Question

what is the domain of the relation {(-3,-4), (-1,2), (0,0),(1,3),(5,4)}

Answer 1

The domain is the set containing all the x-coordinates of the relation.

Answer 2

The \(\color{red}{x}\)-coordinates are shown in red below.

\((\color{red}{x}, y)\)

\(\{(\color{red}{-3},-4), (\color{red}{-1},2), (\color{red}{0},0),(\color{red}{1},3),(\color{red}{5},4)\}\)

Answer 3

I have no idea why LaTeX is being weird so I'll try to fix those colors up.

The \(\color{red}{x}\)-coordinates are shown in red below.

\(\color{black}{(}\color{red}{x} \color{black}{,y})\)

\(\{(\color{red}{-3}\color{black}{,-4), (}\color{red}{-1}\color{black}{,2), (}\color{red}{0}\color{black}{,0),(}\color{red}{1}\color{black}{,3),(}\color{red}{5}\color{black}{,4)}\}\)

Answer 4

As long as the x values don't repeat, we have a function

When the x values repeat, we don't have a function
ex
\{(\color{red}{-3}\color{black}{,-4), (}\color{red}{-1}\color{black}{,2), (}\color{red}{0}\color{black}{,0),(}\color{red}{1}\color{black}{,3),(}\color{red}{5}\color{black}{,4)}\}\[\{(\color{blue}{-3}\color{black}{,-4), (}\color{blue}{-3}\color{black}{,2), (}\color{red}{0}\color{black}{,0),(}\color{red}{1}\color{black}{,3),(}\color{red}{5}\color{black}{,4)}\}\]

Answer 5

@TheSmartOne I don't see any difference between your colors and mine.

Answer 6

@mathstudent55 Earlier this morning, it looked like this for some reason (although your latex was correct):

\(\{(\color{red}{-3,-4), (\color{red}{-1},2), (\color{red}{0},0),(\color{red}{1},3),(\color{red}{5}},4)\}\)

But now it seems to be fixed. :)

Answer 7

I see. I've had times that latex does not show at all, and other times it looks very strange.