In: Math
Find the value of k such that the graph of y = f(x) has no vertical asymptote given by x = 2 where
f(x) = (4x 3 − 4x 2 + kx + 14)/ 4x 2 − 12x + 8 .
Then find all the intercepts, asymptotes, local extreme values, points of inflection, monotonicity intervals, concavity intervals. Finally sketch the graph of y = f(x).