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Let f be continuously differentiable function on the Reals with the following characteristics: - f(x) is...

Let f be continuously differentiable function on the Reals with the following characteristics: - f(x) is increasing from intervals (0,2) and (4,5) and decreasing everywhere else - f(x) > -1 on the interval (1,3) and f(x) < -1 everywhere else Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x) increasing?

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