Question

How do you graph `r=4/theta`?

Answer 1

ALL graphs require a table of calculated values to plot. This one will be a spiral.

Explanation:

"Graphing" is not always for a "solution", but for a better understanding of the function - how it changes.

In this case we have a radius (distance from the origin) that is the ratio of a constant with the angle. At "0" it is undefined, but as `theta` gets smaller and smaller, the fraction becomes larger and larger.
As `theta` gets larger (going around the origin) the value of `r` gets smaller. Calculating and plotting a few points will show that the sequence forms a spiral.