5. a) Fully factor the function f(x) = -3x3 – 6x2 + 48x + 96,then sketch the graph. . b) Estimate from the graph the x-values (to one decimal place) where the function has an instantaneous rate of change of zero. . c) Use the equation of the function and the difference quotient to determine the equation of the line tangent to the function at x2.

Fig: 1

Fig: 2

Fig: 3