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For each function, find: a) All critical numbers. b) Regions where the function is increasing. (Use interval notation.) c) Regions where the function is decreasing.
For each function, find: a) All critical numbers. b) Regions where the function is increasing. (Use interval notation.) c) Regions where the function is decreasing. (Use interval notation.) d) Evaluate the function at each critical number. e) Classify each critical point as a relative minimum, a relative maximum, or neither. Sample wording for part (e): "f has a relative minimum at (x, y)." OR "f(x) = y is a relative minimum." In either case, fill in numbers for x and y. f) Find the y-intercept. g) Graph the function. Note: if there are no critical numbers, just say so.5) G(x) = xV12 - x. Use [0, 12] for the domain. (Note: G(12) = 0.)
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