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**Unformatted text preview: **If the Mean Value Theorem can be applied, find all values of c that satisfy the theorem. 6. STATE Rolle’s theorem. Then look at the graph below for a function defined on [-1, 1] and mark all numbers c that Rolle’s theorem mentions. 7. Given the graph of f '( x ) below. a. Determine the intervals where f ( x ) is increasing and the intervals where ( ) is decreasing b. List the coordinates of the local maximums of ( ) or state there are none and the coordinates of the local minimums of ( ) or state there are none c. Determine the intervals where the graph of ( ) is concave up and the intervals where the graph of ( ) is concave down d. Find all coordinates of the points of inflection or state there are none e. Sketch a possible graph of y=f(x), if f(0)=0. Bonus: Prove either Rolle’s Theorem using the Mean Value Theorem or Mean Value Theorem using the Rolle’s Theorem....

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- Spring '08
- FBHinkelmann
- Calculus, Derivative, Mean Value Theorem, Trigraph, Convex function, Rolle's theorem