Question 1198106


State the domain and range for each. Is the relation a function? Why or why not?


(1) {(-1,-4), (3,4), (-3,-9), (2,-4), (-5,8), (0,-4)}

domain: {-5,-3,-1,0,2,3}
range: {-9,-4,4,8}

recall: An ordered pair is represented as (INPUT, OUTPUT): 

The relation shows the relationship between INPUT and OUTPUT. Whereas, a function is a relation which derives {{{one}}} OUTPUT for each given INPUT.

in your case every {{{x}}} has one value of {{{y}}}, so the relation {{{is}}} a function

(2) {(18,-142), (87,-142), (-43,-92), (125,111), (87,101), (18,111)}

domain: {-43,18,87,125}
range: {-142,-92,101,111}

Since {{{x=87 }}}produces {{{y=-142}}} and {{{y=101}}}, the relation is {{{not}}} a function