| The graph of g(x)=ax3+bx2+cx, a cubic function having a y-intercept of 0, is drawn below. The x-coordinates of the turning points of g are −1 and 2. |
|  | |
| 8.1 | For which values of x will g increase? | (2) |
| 8.2 | Write down the x-coordinate of the point of inflection of g. | (2) |
| 8.3 | For which values of x will g be concave down? | (2) |
| 8.4 | If g′(x)=−6x2+6x+12, determine the equation of g. | (4) |
| 8.5 | Determine the equation of the tangent to g that has the maximum gradient. Write your answer in the form y=mx+c. | (5) |
| | [15] |