Determine whether the equation defines y as a function of x x=y^2-9
To determine if the equation defines y as a function of x, we must check if y is uniquely determined for each given x value.
The equation given is x = y^2 - 9.
To solve for y, we can rearrange the equation:
x = y^2 - 9
x + 9 = y^2
√(x + 9) = y or -√(x + 9) = y
As we can see, for each value of x, we have two possible values for y. Therefore, y is not uniquely determined for each x value.
Hence, the equation does not define y as a function of x.