(a(i))[3]
Fill in the missing entries in the table.
(a(ii))[4]
On the grid, sketch the graph of $y = 2x^3 - 4x^2 + 3$ for $-1 \leq x \leq 2$.
(a(iii))[3]
From your graph, determine the solution to $2x^3 - 4x^2 + 3 = 1.5$.
(a(iv))[1]
The equation $2x^3 - 4x^2 + 3 = k$ has just one solution on $-1 \leq x \leq 2$. Give one possible integer value of $k$.
(b(i))[1]
On the grid, sketch the tangent to the curve at $x = 1$.
(b(ii))[2]
Use your tangent to estimate the gradient of the curve when $x = 1$.
(b(iii))[2]
Write the equation of your tangent in the form $y = mx + c$.