The critical points are: x=3/2 (because f'(x) = 0 <=> 4x-6=0 <=> x=3/2).
x=0 (because f'(0) is undefined).
Therefore: f is increasing on (- infinity, 0) U (3/2, + infinity) since f'(x) > 0 there.
f is decreasing on (0, 3/2) since f'(x) < 0 there.
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