Question: Let f be a function defined on [0, 1] such that f(0) = 1, f(1) = 2. Consider the following properties that f might have:

Let f be a function defined on [0, 1] such that f(0) = 1, f(1) = 2. Consider the following properties that f might have: A. f (x) = 13x - 11 ; 2- + 1, 2 1/3, B. f (z ) = 1, x = 1/3; C. f is cont. on [0, 1], diff. on (0, 1) ; which properties ensure that f'(c) = 1 for some c in (0, 1)? 1. B and C only 2. B only 3. C only 4. A only 5. A and B only 6. A and C only 7. all of them 8. none of them

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