Work these problem.
A plane flies from Austin, Texas, to Cleveland, Ohio, a distance of 1200 miles. Let f be the function whose rule is f(t) = distance (in miles) from Austin at time t hours, with t = 0 corresponding to the 4 p.m. takeoff. In each part of this exercise, draw a plausible graph of f under the given circumstances. (There are many correct answers for each part.)
(a) The flight is nonstop and takes between 3.5 and 4 hours.
(b) Bad weather forces the plane to land in Dallas (about 200 miles from Austin) at 5 p.m. , remain overnight, and leave at 8 a.m. the next day, flying nonstop to Cleveland.
(c) The plane flies nonstop, but due to heavy traffic it must fly in a holding pattern for an hour over Cincinnati (about 200 miles from Cleveland) and then go on to Cleveland.
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