You need to correct only the answer to question (c).
Near x = - 1/2 the graph of f behaves like -8*(-1/2 + 6)^3*(x+1/2)^2 = - 1331(x+1/2)^2
because 8*(11/2)^3 = 8*11^3/2^3 = 11^3 = 1331.
Ok- how about to the left-most intercept?
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