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I'm trying to sketch a graph for the coordinates of relative maxima, minima, and points of inflection? The example that i was provided is long,

I'm trying to sketch a graph for the coordinates of relative maxima, minima, and points of inflection? The example that i was provided is long, convoluted and confusing. Can you please explain this equation?

y=x^3-8x^2-12+6

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