For the function g(x) = 2x3 - 24x2 + 72x + 2, which is true? O a ) The value of g at its local minimum is 2 and the value of g at its inflection point is 34. The value of g at its local maximum is 52 and O b) the value of g at its local minimum is 2. O c) The value of g at its inflection point is 52 and the value of g at its local minimum is 16. The value of g at its local maximum is 66 and O d) the value of g at its inflection point is 16. O e ) The value of g at its inflection point is 16 and the value of g at its local maximum is 52. The value of g at its local minimum is 16 and Of) the value of g at its local maximum is 52. The value of g at its local minimum is 16 and O g ) the value of g at its inflection point is 34