For the function given below, answer (a) through (c).

(a) For each function below, find the average rate of change

of f from 1 to x:

[f(x) - f(1)]/(x - 1), where x cannot = 0.

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(b) Use the result from part (a) to compute the average rate of change from x = 1 to x = 2. Be sure to simplify.

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(c) Find an equation of the secant line containing the points

(1, f(1)) and (2, f(2)).

HERE IS THE FUNCTION:

f(x) = x^3 + x