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a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur 90x)=x²-12x a. Determine the open interval(s) of x for which g(x) increases Select the correct choice below and, if necessary, in the answer box to complete your choice OA. The function is increasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed) OB. The function is never increasing Determine the open interval(s) of x for which gix) decreases Select the correct choice below and if n if necessary t A. The function is decreasing on the open interval(s) (Type your answer in interval notation Use a comma to separate answers as needed) OB. The function is never decreasing answer box to complete your choice b. Find each local maximum, if there are any Select the correct choice below and, if necessary. Sit in the answer boxes) to complete your choice (Type integers or simplified tractions) OA. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are off and a

Determine whether Roe's Theorem applies to the following functions on the given interval 1 so find the points) that are guaranteed to ext by Ro's The 800-5² +30x1-6.01 7440 OB. x--6 OD. x-3 CRED