To begin, write the equation of a cubic function of the form f(x)=ax^3+bx^2+cx+d Show your work to determine: the y-intercept and any x-intercepts (you may need to apply technology to assist you with this) the critical point(s) of your function the intervals of increase/decrease the point(s) of inflection the intervals of concavity On a piece of graphing paper, sketch your function and clearly indicate each of the key features you calculated in the previous step In a well organized paragraph, use vocabulary from this unit to explain: how derivatives can be applied to determine the critical point(s) of a function how you used the first derivative test in order to classify the critical point(s) you found