SOLUTION: 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)} (2) {(18,-142), (87,-142), (

Algebra ->  Functions -> SOLUTION: 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)} (2) {(18,-142), (87,-142), (      Log On


   



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)}


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

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

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