Let f: [0,1] -> R be continuous with f(0) = f(1). Show that there must exist x,y in [0,1] which are of distance 1/2 apart (i.e |x-y| = 1/2) for which f(x) = f(y). (R = real numbers)
Let f: [0,1] -> R be continuous with f(0) = f(1). Show that
there must exist x,y in [0,1] which are of distance 1/2 apart (i.e |x-y| = 1/2) for which f(x) = f(y). (R = real numbers)
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”
The post Let f: [0,1] -> R be continuous with f(0) = f(1). Show that there must exist x,y in [0,1] which are of distance 1/2 apart (i.e |x-y| = 1/2) for which f(x) = f(y). (R = real numbers) appeared first on Superb Professors.