(a)[1]
Write down the equation for the graph’s line of symmetry.
(b)[3]
On the grid opposite, draw the tangent to the curve at the point where $x = 0.5$. Find the gradient of this tangent.
(c(i))[3]
Complete the table.
(c(ii))[4]
On the grid opposite, draw the graph of $y = x^3 + 3x + 4$ for $-1.5 \leq x \leq 1.5$.
(d)[1]
Show that the values of $x$ where the two curves intersect are the solutions to the equation $x^3 + 8x^2 + 3x - 6 = 0$.
(e)[3]
By drawing an appropriate straight line, solve the equation $x^3 + 5x + 2 = 0$ for $-1.5 \leq x \leq 1.5$.