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. ) y = x2 x2+27 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.