Analyze the key features of the function f(x) = −2x³ + 12x² − 3,x € [−4,4]
a) Calculate the increase and decrease interval
b) Calculate the determine the critical point
c) Calculate the concavity
d) Calculate the any point of inflection
e) Calculate the absolute minimum and absolute maximum
f) Calculate the domain and range of f(x) in the interval above.