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For a I got x=1/2 but I am not sure how to do b and how to show my work on it. I got (1/2,-25/4)

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For a I got x=1/2 but I am not sure how to do b and how to show my work on it. I got (1/2,-25/4) for the answer for b but any calculator I use shows different

image text in transcribed
2. Consider the function g(x) = HIN -x2 - 6x. (a) (2 points) Find the critical numbers for g(x). (b) (2 points) Find the open interval(s) on which g(x) is increasing and decreasing using information obtained from the 1st derivative

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