obviously the circle in question one has neither being a function independent of the other, but when something is a function of something else then one has to be dependent and the other not.
question 2 is in the form of x as a function of y, not the other way around. Either you are confused or you dont get what functions are. prepare your anus when you get to calc and especially multivariant calc
>>33030 No, question 2 IS representative of y as a function of x. When y is a function of x, then y is alone on one side of the equation, while x interacts with numbers on the other side. This makes it so that y, having nothing else acting upon it, is ultimately dependent on x, and therefore a function of it.
>>33028 The problem is probably that while y^2 = a can have two real solutions, y = +sqrt(a) and y = - sqrt(a), when you write y = sqrt(a), sqrt is a function that gives you only the nonnegative solution.
This means that y = sqrt(16 - x^2) is an equation that represents y as a function of x.
>>33028 K i figured it out. The second equation is not the first equation, because square rooting the first equation results in both the positive and negative square root, whereas the second is explicitly only the positive (aka principle) square root.
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