Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x2 - 216x + 2, [-4, 5] Step 1 The absolute maximum and minimum values of f occur either at a critical point inside the interval or at an endpoint of the interval. Recall that a critical point is a point where f '(x) = 0 or is undefined. We begin by finding the derivative of f. f "(x) = 18x2 – 18x – 216 v 182 – 18r – 216| Step 2 We now solve f '(x) = 0 for x, which gives the following critical numbers. (Enter your answers as a comma- separated list.) = -3,4 -3, 4 Step 3 We must now find the function values at the critical numbers we just found and at the endpoints of the interval [-4, 5). f(-3) = 45 f(4) = f(-4) = f(5) =

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.