Half-Circle Function
Function defined by a relation in the form f(x) = [latex]\sqrt{{r}^{2} – {x}^{2}}[/latex] or f(x) = − [latex]\sqrt{{r}^{2} – {x}^{2}}[/latex] 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) = [latex]\sqrt{{4} – {x}^{2}}[/latex] :
Here is the graph of the function defined by the relation f(x) = − [latex]\sqrt{{4} – {x}^{2}}[/latex] :
