(a)[1]
Fill in the table for $y = \dfrac{x^2}{2} - 3x + 2$.
(b)[3]
Sketch the graph of $y = \dfrac{x^2}{2} - 3x + 2$ for $-1 \le x \le 7$.
(c)[2]
By drawing a tangent, estimate the gradient of the curve when $x = 1.5$.
(d)[2]
Complete these inequalities to show the set of $x$-values for which $y \ge 0$.
(e(i))[2]
Draw the line $4y + 3x = 12$ on the same grid.
(e(ii))[2]
The $x$-coordinates of the intersection points of this line and the curve are the solutions of the equation $2x^2 + Ax + B = 0$. Find the value of $A$ and the value of $B$.