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

1 Answer
Apr 4, 2016

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, ...