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Let the function f be defined as f(x) = x 2 − x + 30, where...

Let the function f be defined as f(x) = x 2 − x + 30, where x is the number of widgets (in thousands) produced and f(x) is the amount (in dollars) of revenue for your company.

(a) Find the average rate of change of f between x = 3 and x = 4. Give units for your answer.

(b) Graph the function, the points, and the secant line between them.

(c) Explain in your own words what the meaning of the average rate of change is for this scenario. Be specific for full credit.

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