y^2 =x +2

A: this is a functional relationship
B: this is not a functional relationship
C: it cannot be determined, if this is not, or is a functional relationship

B: this is not a functional relationship

In a functional relationship, each value of the input (x) corresponds to exactly one value of the output (y). However, in the given equation, for each value of x, there are two possible values for y (y = √(x+2) and y = -√(x+2)). Therefore, it is not a functional relationship.