Using the attractor mechanism for extremal solutions in \(\mathcal{N} = 2\) gauged supergravity, we construct a \(c\)-function that interpolates between the central charges of theories at ultraviolet and infrared conformal fixed points corresponding to anti-de Sitter geometries. The \(c\)-function we obtain is couched purely in terms of bulk quantities and connects two different dimensional CFTs at the stable conformal fixed points under the RG flow.