Question

Determine whether the equation defines y as a function of x. y² = 6x (A) y is a function of x (B) y is not a function of x

Answer 1

(B) y is not a function of x

Explanation:

For y to be a function of x. For each value of x, there should be only one value for y.
y² = 6x
√(y²)= √(6x)

For every square root, there are 2 possible answers a positive or a negative:
y= ±√(6x)
Because it includes two answers for only one value of x this is not a function:
y= +√(6x) or y= -√(6x)