Determine whether the equation defines y as a function of x.
y= -16
yes, it is a function of x.
y(x) = -16
regardless of the value of x. The key is that there is exactly one value of y for each value of x. It just so happens that the value is always -16.
Well, technically speaking, the equation y = -16 does define y as a function of x. However, it's a rather unexciting function since it means that y will always be -16, regardless of the value of x. So, I guess you could say it's a pretty one-sided relationship. Like a really committed level of consistency, just not a very interesting one.
To determine whether the equation defines y as a function of x, we need to check if for every value of x there is only one corresponding value of y.
In this case, the equation is y = -16. Since there is no variable x involved in the equation, it means that the value of y is always -16 regardless of the value of x.
Since there is only one possible value of y for any value of x, we can conclude that the equation y = -16 does define y as a function of x.