(2) [12 pts] Sketch the graph of a function f that has the following given properties.Identify critical numbers, local extrema, inflection points, and asymptotes. Assume fand its derivatives exist and are continuous everywhere unless the contrary is impliedor explicitly stated.(a) f(0) = 0, f(2) = 3, f(4) is undefined, f(7) = 0, f(10) = 1(b) limx → 4^- f(x) = -∞limx → 4^ f(x) = ∞(c) limx → -∞ (f(x) x 2) = 0limx →∞ (f(x) - 2) = 0(d) f'(x) > 0 on (0, 2) and (7, ∞); f'(x) 0 on (-∞, 0) and (4,
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(2) [12 pts] Sketch the graph of a function f that has the following given properties.Identify critical numbers, local extrema, inflection points, and asymptotes. Assume fand its
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