(a)[3]
Fill in the table.
(b)[4]
On the grid, plot the graph of $y = x^3 - 3x^2 + x$ for $-0.75 \leq x \leq 2.75$.
(c)[3]
Use the graph to fill in the inequalities in $x$ for which $y > -1$. [BLANK] $< x <$ [BLANK] and $x >$ [BLANK].
(d(i))[2]
Write down the equation for this line.
(d(ii))[3]
On the grid, sketch this line and use it to solve the equation $x^3 - 3x^2 + 2x - 1 = 0$.
(e)[3]
By drawing a suitable tangent, estimate the gradient of the graph of $y = x^3 - 3x^2 + x$ at $x = -0.25$.