Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = x3 - 3x, [0, 4] absolute maximum (x, y) = absolute minimum (x, y) =

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x2 y = x2 + 243 intercept (x, y) = relative minimum (x, y) | relative maximum (x, y) = points of inflection (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the equation of the asymptote. Use a graphing utility to verify your results. y y X - 30 -20 to 10 20 30 - 30 - 20 -10 20 30 -2t -2t y y 2.0 -30 - 20 -10 10 20 30 1.5 -0.5 1.0 0.5 -1.5 -2.0 - 30 -20 -10 10 20 30

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Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 - 3x2 - 9x + 6, [-2, 4] absolute minimum (x, y) absolute maximum (x, y) =