SOLUTION: X2+Y2=25 Is solving this problem considered a function? How do I plot a graph using a smooth curve for this problem? Ed

Question 107025: X2+Y2=25
Is solving this problem considered a function?
How do I plot a graph using a smooth curve for this problem?
Ed
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Solve for y as a function of x.

and
Since the square root cannot be negative, then

The domain of x is {-5,5} and the range of y is {-5,5}.
Choose several x's between -5 and 5 (-5,-4,-3,-2,-1,0,...) and calculate the y values.
Examples, when x=-4,
and
and
and
and
So the ordered pairs (3,4) and (3,-4) are on your curve.
More points make for a smoother curve.
When you graph the function, you will see that it is the top and bottom of a circle centered at 0,0 with a radius of 5.

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