Let Y =

Essay

Let y =
- 3
- 9x + 10.
(a)Determine y' and y''.
(b)Determine intervals on which the function is increasing; determine intervals on which the function is decreasing.
(c)Determine the coordinates of all relative maximum and relative minimum points
(d)Determine intervals on which the function is concave up; determine intervals on which the function is concave down;
(e)Determine the coordinates of all inflection points.
(f)With the aid of the information obtained in parts (a)-(e),give a reasonable sketch of the curve.