Question: Without a calculator, draw the graph of the following function including horizontal and vertical asymptotes, local maxima and minima, and inflection points. f ( x

Without a calculator, draw the graph of the following function including horizontal and vertical asymptotes, local maxima and minima, and inflection points.
f(x)=(x-4)2(x-2)2,f'(x)=4(x-4)(x-2)3,f''(x)=8(5-x)(x-2)4
with fully explanation please.
Without a calculator, draw the graph of the following function including

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