Let f(x) = 0.5x 2 + 50 represent the outside temperature in degrees Fahrenheit at x P.M.,

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Let f(x) = 0.5x2 + 50 represent the outside temperature in degrees Fahrenheit at x P.M., where 1 ≤ x ≤ 5. 

(a) Graph f. Is f linear or nonlinear? 

(b) Calculate the average rate of change of f from 1 P.M. to 4 P.M. 

(c) Interpret this average rate of change.

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