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Writing In Exercises 3-6, explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) =
Writing In Exercises 3-6, explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). 3. f(x) = , [-1, 1] 5. f(x) = 1 - /x - 11, [0, 2] Using Rolle's Theorem In Exercises 7-10, find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two x-intercepts. 7. f (x) = x2 - x- 2 8. f (x) = 12+ 6x 9. f ( x) = x x + 4 10. f(x) = -3xx + 1
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