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A UCF mathematics Professor sampled a function f(x) along with its derivatives. The table below gives the values sampled of f(x), f'(r) and f"(x); they are assumed to be continuous at all r. 0 2 3 4 5 f(I) 1/2 2 -1/4 4/3 0 3 f'(x) -1 0 3/4 0 f" (x) 0 -5/7 -1 2/3 -2 Table 3: Sampled values of f(r), f'(x) and f"(x) Question 3. Table repeated for your convenience, consider the following claims: (1) There must exist a point a E (0, 1) such that f"(a) = 1. (2) There must exist a point ce (4, 5) such that f'(c) = 4. (4) There must exist a point d e (2, 3) such that f'(d) = v2. The sum of all correct claims equals