montielkelsey5343 montielkelsey5343

11-07-2018
Mathematics

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Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = x3 + x − 3, [0, 2]

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sqdancefan sqdancefan

11-07-2018

Short answer: Yes

The two hypotheses are
1. f(x) is continuous on the interval [0, 2].
This hypothesis is satisfied. A polynomial function is continuous everywhere.

2. f(x) is differentiable on the interval (0, 2).
This hypothesis is satisied. A polynomial function is differentiable everywhere.

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