The variables x and y are connected by the equation y = x³/2 - 3x + 1. Some corresponding values of x and y are given in the table below. X | -3 | -2 | -1 | 0 | 1 | 2 | 3 y | | 3 | 3.5| 1 | -1.5| -1|

1. (a)Complete the table.[2]
2. (b)On the grid below, plot the points from the table and join them with a smooth curve. [Grid][2]
3. (c)Use your graph to solve the equation x³/2 - 3x + 1 = 0.[2]
4. (d)By drawing a tangent, find the gradient of the curve at the point (-2, 3).[2]
5. (e)(i)The line AB intersects the curve at point P. The coordinates of point A are (0, 5). The coordinates of point B are (2, -3). Find the equation of line AB.[2]
6. (e)(ii)The x-coordinate of point P is a solution of the equation x³/2 + Cx + D = 0 . Find C and D.[2]

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