(a)[2]
Fill in the table.
(b)[5]
On the grid, sketch the graph of $y = 3x + \frac{2}{x^2} + 1$ for $-3 \leq x \leq -0.3$ and $0.3 \leq x \leq 3$.
(c)[1]
State the value of the greatest integer, $k$, such that the equation $3x + \frac{2}{x^2} + 1 = k$ has exactly one solution.
(d(i))[4]
By drawing an appropriate straight line on the grid, solve $3x + \frac{2}{x^2} + 1 = 15 - 3x$.
(d(ii))[3]
Determine $a$, $b$ and $c$.