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

1 Answer
Apr 14, 2018

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


"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.