SOLUTION: Graph each relation. Find the domain and range. {(-1,1),(-2,2),(-3,3),(-4,4)}

Algebra ->  Algebra  -> Functions -> SOLUTION: Graph each relation. Find the domain and range. {(-1,1),(-2,2),(-3,3),(-4,4)}      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 156442: Graph each relation. Find the domain and range.
{(-1,1),(-2,2),(-3,3),(-4,4)}
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the 1st point (-1,1)
drawing%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2Ccircle%28-1%2C1%2C0.05%29%2C%0D%0A++circle%28-1%2C1%2C0.08%29%0D%0A++%29


Plot the 2nd point (-2,2)
drawing%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2Ccircle%28-1%2C1%2C0.05%29%2C%0D%0A++circle%28-1%2C1%2C0.08%29%2Ccircle%28-2%2C2%2C0.05%29%2C%0D%0A++circle%28-2%2C2%2C0.08%29%0D%0A++%29

Plot the 3rd point (-3,3)
drawing%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2Ccircle%28-1%2C1%2C0.05%29%2C%0D%0A++circle%28-1%2C1%2C0.08%29%2Ccircle%28-2%2C2%2C0.05%29%2C%0D%0A++circle%28-2%2C2%2C0.08%29%2Ccircle%28-3%2C3%2C0.05%29%2C%0D%0A++circle%28-3%2C3%2C0.08%29%0D%0A++%29

Plot the 4th point (-4,4)
drawing%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2Ccircle%28-1%2C1%2C0.05%29%2C%0D%0A++circle%28-1%2C1%2C0.08%29%2Ccircle%28-2%2C2%2C0.05%29%2C%0D%0A++circle%28-2%2C2%2C0.08%29%2Ccircle%28-3%2C3%2C0.05%29%2C%0D%0A++circle%28-3%2C3%2C0.08%29%2Ccircle%28-4%2C4%2C0.05%29%2C%0D%0A++circle%28-4%2C4%2C0.08%29%0D%0A++%29

So the graph of the relation {(-1,1),(-2,2),(-3,3),(-4,4)} is


drawing%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A++grid%28+1+%29%2Ccircle%28-1%2C1%2C0.05%29%2C%0D%0A++circle%28-1%2C1%2C0.08%29%2Ccircle%28-2%2C2%2C0.05%29%2C%0D%0A++circle%28-2%2C2%2C0.08%29%2Ccircle%28-3%2C3%2C0.05%29%2C%0D%0A++circle%28-3%2C3%2C0.08%29%2Ccircle%28-4%2C4%2C0.05%29%2C%0D%0A++circle%28-4%2C4%2C0.08%29%0D%0A++%29

Remember, the domain is simply the set of values that you can plug in (ie the x values). So the domain is {-1,-2,-3,-4} (these are the x-coordinates of the points).

Also, the range is the set of values that come out (ie the y values). So the range is {1,2,3,4} (these are the y-coordinates of the points).