4.4k views
3 votes
Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = x3 + x − 3, [0, 2]

User Foreline
by
7.4k points

1 Answer

3 votes
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.
User Mrcalvin
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories