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We consider Toeplitz operators with bounded symbol acting on the Bergmanspace of the unit disk and assess their hyponormality. We will mainly beconcerned with the symbol $\varphi(z)=z^{n}|z|^{2s}+a(t)\bar{z}^{m}|z|^{2t}$,where $s$ and $t$ are positive real numbers and $m$ and $n$ are naturalnumbers. The main goal is to understand how large $|a(t)|$ can be for thisoperator to be hyponormal and we will answer this question for large values of$t$. We also correct a typo from a 2019 paper of Fleeman and Liaw concerningthe norm of the commutator of the Toeplitz operator with symbol $z^m\bar{z}^n$when $m>n$.

Hyponormal Toeplitz Operators on the Bergman Space of the Disk