To determine the critical numbers of g(x), set g'(x) equal to zero and solve for x.Since there
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To determine the critical numbers of g(x), set g'(x) equal to zero and solve for x.Since there is no point for which g'(x) does not exist, x = 1 is the only critical number. Thus, the number linecan be divided into two intervals (-?, 1) and (1, ?). Determine the sign of g'(x) at one test value in each ofthe two intervals.First consider the interval (-?, 1). Let x = 0.Since g'(0) 0, for which interval is the function increasing.
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