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 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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