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1. Consider the function f(x) = =x+ cos(x) on the domain [0, 27]. Create a complete three row sign chart. Identify all critical points and

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1. Consider the function f(x) = =x+ cos(x) on the domain [0, 27]. Create a complete three row sign chart. Identify all critical points and possible inflection points, and show how they were found. A complete chart must include: . Domain endpoints . Exact values for all critical points (when f'(x) =0 or when f'(x) is undefined) . Exact values when f"(x) = 0 or when f"(x) is undefined f' + / - f" + /- or f' incr / deer f shape2. Sketch a graph of the function f that meets all of the following criteria: . f(2) is undefined because a vertical asymptote exists at x = 2. . f(0) = 2 and f(4) = -1. . f'(4) = 0 . f'(x) > 0 on (-0o, 2) and (2, 4). . f'(x) 0 on (0, 2). . f"(x)

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