Square-root and reciprocal-root graphs

A square-root graph uses nonnegative inputs: \(y=x^{1/2}=\sqrt x\) starts at the origin and increases more slowly as x grows. Its reciprocal \(y=x^{-1/2}=1/\sqrt x\) needs positive inputs and decreases towards zero.

For a sum, evaluate every term before adding. For \(y=\sqrt x+1\), the values above increase by 1. The curve \(y=1/\sqrt x\) has asymptotes \(x=0\) and \(y=0\); it never meets either axis. Do not plot an invented value at zero.