Suppose F R R is continuous and suppose there are closed intervals Io, I such that F(Io) CI F(1) C Io. a. Show that F has at least one periodic orbit {x0, x1} of period q = 2 such that xo E Io and x I. b. Show that if Io, I are disjoint, then such an orbit has minimal period q = 2. c. Give an example to show that if Ion I0, then an orbit of minimal period 2 might not exist.