Question

How do you graph `r = 3^t`?

Answer 1

The graph is a spiral emanating from the limiting position pole `(0, -oo)`, as `t to-oo`.
The spiral is divergent. As `t tooo, rtooo`.

Explanation:

I assume that t is the polar coordinate, for rotation about the origin.
The graph transits the two opposite-half-limes `t = +-2kpi`, k=0, 1. 2, 3... at `r=3^(+-2kpi)`, k= 0, 1, 2, 3, ...