1. Determine algebraically or by the use of calculus the following information about each of the following curves and then sketch each curve showing the appropriate information, if they exist. (20 marks each = 60 marks) a. intercepts b. domain c. where the curve is increasing/decreasing d. local maximum and/or minimum value(s) e. concavity f. inflection point(s) (i) y = x4 -12.x3 + 48x' -64.x X' - 3.x (iii) y = X? - 1 For (iii) include the asymptotes as well