Title: Mean Value Theorem Post-Video Questions
Course: Calculus Videos Project > Section: Mean Value Theorem

Q: Use the following graphs for this question:
Graph I

Graph II

Graph III

Graph IV

Graph V

For which of the graphs from I) - V) above, if any, is there a value for in (-2,7) where ?
- Graph I) only
- Graph II) only
- Graph III) only
- Graph IV) only
- Graph V) only
- Graph III) and Graph IV) only
- Graph IV) and Graph V) only
- Graph I), Graph IV) and Graph V) only
- Graph III), Graph IV) and Graph V) only
- Graph I), Graph II), Graph IV), and Graph V) only
- Graph I), Graph III), Graph IV), and Graph V) only
- All five functions have a value for in (-2,7) where
- None of the graphs have a value for in (-2,7) where
A: Graph III), Graph IV) and Graph V) only

Q: Use the following graphs for this question:
Graph I

Graph II

Graph III

Graph IV

Graph V

For which of the graphs from I) - V) above, if any, is f continuous over [-2,7], differentiable over (-2,7), AND there is there a value for in (-2,7) where ?
- Graph I) only
- Graph II) only
- Graph III) only
- Graph IV) only
- Graph V) only
- Graph III) and Graph IV) only
- Graph IV) and Graph V) only
- Graph I), Graph IV) and Graph V) only
- Graph III), Graph IV) and Graph V) only
- Graph I), Graph II), Graph IV), and Graph V) only
- Graph I), Graph III), Graph IV), and Graph V) only
- All five functions satisfy these three conditions
- None of the graphs have functions that satisfy these conditions
A: Graph IV) and Graph V) only

Q: For the graph of below, identify a value for , if any, from the interval (-3,7) where .
- No values for exist where
A: (a choice with no text)

Q: Two highway patrol cars are stationed 4.2 miles apart on an interstate highway that has a speed limit of 65 miles per hour. A gray SUV passes in front of the first patrol car and is clocked at 63 miles per hour. 0.062 hours later (almost 4 minutes), the gray SUV passes in front of the second patrol car and is clocked at 64 miles per hour. Did the gray SUV exceed the speed limit at some time during the 0.062 hours?
- Yes.
- No.
- Maybe, but I need more information.
- I'm not sure how to answer this question.
A: Yes.