Chapter 5.4, Problem 33E

Find the minimum

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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