Arectangle is inscribed in a semicircle of radius 2. let p = (x, y) be the point in the quadrant i that is a vertex of the rectangle and is on the circle.

1) express the area a of the rectangle as a function of x.
2) express the perimeter p of the rectangle as a function of x.

The solutions would be like this for this specific problem. Please refer to the attachment below. 

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

you first to choose the points and then move from then as the slope you have