Select the correct graph of the polar equation.Find an interval for for which the graph is traced only once.

Question

Select the correct graph of the polar equation.Find an interval for  for which the graph is traced only once. ​  ​

Quizplus · Accepted Answer

The polar equation appears to be a spiral that starts from the origin, expands outwards and revolves around the origin. To trace the graph only once, we need to choose an interval that covers one full revolution around the origin, but does not extend beyond it. In other words, we need to choose an interval that covers a range of θ values that goes from 0 to 2π. The only graph that satisfies this condition is graph C. The other graphs either extend beyond one full revolution or do not cover one full revolution at all.

Select the Correct Graph of the Polar Equation