Hi
1) correct on (1/3,124/27)being the maximum turning point |good work
2) 2x³-7x²+4x+4 = (x-2)(2x^2-3x-2) = (x-2)(2x+1)(x-2) |x= -1/2 and x = 2
x < -1/2 lends to f(x)< 0
always recommend sketching the graph..can be extremely helpful.
can download FREE graph software at
http://www.padowan.dk.com