Decide whether the relation defines a function.
-$y ^ { 2 } = 4 x$
A) Function
B) Not a function

Question

Quizplus · Accepted Answer

For a relation to define a function, each input (x-value) must correspond to exactly one output (y-value). The given relation $y^2 = 4x$ does not satisfy this criterion because for a given x-value (except for x=0), there are two corresponding y-values (one positive and one negative) that satisfy the equation. This means that for most x-values, there are two different y-values, which violates the definition of a function.

Decide Whether the Relation Defines a Function y2=4xy ^ { 2 } = 4 xy2=4x

Decide Whether the Relation Defines a Function $y ^ { 2 } = 4 x$