Answer a,b,c ←a. Identify the function's local extreme values in the given domain, and say where they occur.b. Which of the extreme values, if any, are absolute?c. Support your findings with a graphing calculator or computer grapher.f(t) = 75t-t³; -6≤t<∞a. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the(Type an integer or a simplified fraction.)OA. The function has a local maximum value at one value of x. The maximum value is fOB. The function has a local maximum value at two values of x. In increasing order of x-value, the maxiFO=1OC. The function has a local maximum value at three values of x. In increasing order of x-value, the maxand f■O D. There are no local maxima.Find each local minimum, if there are any. Select the correct choice below and, if necessary, fill in the answer(Type an integer or a simplified fraction.)OA. The function has a local minimum value at one value of x. The minimum value is f=Border of x-value the minimum

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< a. Identify the function's local extreme values in the given domain, and say where they occur. b. Which of the extreme values, if any, are absolute? c. Support your findings with a graphing calculator or computer grapher. f(t) = 75t-t³, -6≤t<∞ a. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the (Type an integer or a simplified fraction.) OA. The function has a local maximum value at one value of x. The maximum value is f B. The function has a local maximum value at two values of x. In increasing order of x-value, the max = OC. The function has a local maximum value at three values of x. In increasing order of x-value, the max and f = OD. There are no local maxima. Find each local minimum, if there are any. Select the correct choice below and, if necessary, fill in the answer (Type an integer or a simplified fraction.) A. The function has a local minimum value at one value of x. The minimum value is f В 0 order of x-value the minimum