1) Find the exact absolute max and exact min forf(x)=x^3-3x^2-6x+4 on the closed interval [0,3]
2) Let f be continuously differentiable function on the Realswith the following characteristics:
- f(x) is increasing from intervals (0,2) and (4,5) anddecreasing everywhere else
- f(x) > -1 on the interval (1,3) and f(x) < -1 everywhereelse
Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x)increasing?
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