(a(i))[2]
Fill in the table.
(a(ii))[5]
On the grid, plot the graph of $y = f(x)$ for $-3 \le x \le -0.1$ and $0.2 \le x \le 3$.
(b)[3]
Use your graph to determine the solutions of $f(x) = 0$.
(c)[1]
Give an integer $k$ such that $f(x) = k$ has exactly one solution.
(d(i))[4]
Draw an appropriate straight line to solve $f(x) + 2 = -5x$.
(d(ii))[2]
The equation $f(x) + 2 = -5x$ may be expressed as $x^3 + ax^2 + bx - 1 = 0$. Determine the value of $a$ and the value of $b$.