In this paper we propose a quintessence model with the potential V(Φ)=Vo[sinh(ακoΔΦ)]β, which
asymptotic behavior corresponds to an inverse power-law potential at early
times and to an exponential one at late times. We demonstrate that this is a
tracker solution and that it could have driven the Universe into its current
inflationary stage. The exact solutions and the description for a complete
evolution of the Universe are also given. We compare such model with the
current cosmological observations.Comment: 13 pages REVTeX, 5 eps color figure