I think something there is some discrepancy in what I think of "approaching from above ( or below)" means and what @JohnBaez does.

Here is my picture of the situation for the right adjoint of the function \$$2\times -\$$:

Here, if \$$f\dashv r\$$ (\$$r\$$ is the right adjoint of \$$f\$$, \$$f(1)= * \leq *\$$ so \$$1\leq r( * )\$$ then \$$r( * )=1\$$ which I can only describe as "approaching from above".