Question 1152456: 3x2 +y=18 determine whether the relation represents y as a function of x
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52899)   (Show Source):
You can put this solution on YOUR website! .
Yes,
for every given value of "x" the relation y = 18 - 3x^2 determines a unique value of y.
By the definition, it means that y, determined by the given relation, is a function of x.
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! determine whether the relation represents y as a function of x
A relation  a function if it assigns   value to any  value in its domain.
A relation is  a function if it assigns  than  value to any value in its domain.
For a relation to be a function, use the   Test:
Draw a vertical line anywhere on the graph, and if it  hits the graph than  , it a function.
If your vertical line hits  or more, it's a function.
for  , the equation gives us  ,
for , the equation gives us  ,
for  , the equation gives us
Since there is one value of for every value of in ( , ),( , ),( ,), this relation  a function.
let's see vertical line test:
|
|
|
