Question

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and

state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is
bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no
asymptotes.
r= 3 -3cos theta

Answer 1

Explanation:

The shape of the curve is a rose curve.

The domain are real numbers

And the range is approximately from -3.9 to 3.9

The maximum value of r on the graph is 3.9

Yes the graph is continuous and it is bounded above and below

The graph is symmetrical about the x axis and not about the y axis.

No asymptotes