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.