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Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)

y = x^3 + 3x^2 + 3x + 2

x-intercept (x, y) =
y-intercept (x, y) =
relative maximum (x, y) =
relative minimum (x, y) =
point of inflection (x, y) =
horizontal asymptote
vertical asymptote

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