Suppose that we know that f(x) is a continuous and differentiable function on [2,14]. Also, suppose we know that f(2)=9 and f'(x) is greater than or equal to -12. What is the smallest possible value of f(14)?

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would this be a straight line from 2,14 running at a slope of 12?

(I'm supposed to use the mean value theorem, or at least that's what it says on the worksheet.)

(I'm supposed to use the mean value theorem, or at least that's what it says on the worksheet.)

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