Work these problem.Transportation A plane flies from Austin, Texas, to Cleveland, Ohio, a...

Work these problem.

Transportation A plane flies from Austin, Texas, to Cleveland, Ohio, a distance of 1200 miles. Let f be the function whose rule is

with t = 0 corresponding to the 4 pm 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.

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(b) Bad weather forces the plane lo land in Dallas (about 200 miles from Austin) at 5 pm, remain overnight, and leave at 8 am the next day, flying nonstop to Cleveland.

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(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.