Function defined by a relation in the form
f(
x) = \(\sqrt{{r}^{2} – {x}^{2}}\) or
f(
x) = − \(\sqrt{{r}^{2} – {x}^{2}}\) where
r is the radius of a circle centered on the origin point.
Examples
Here is the graph of the function defined by the relation f(x) = \(\sqrt{{4} – {x}^{2}}\) :
Here is the graph of the function defined by the relation f(x) = − \(\sqrt{{4} – {x}^{2}}\) :