(a)[3]
Fill in the table.
(b)[4]
Draw the graph of $y = 1.5^x - 1$ for $-2 \le x \le 5$.
(c)[2]
Use your graph to solve the equation $1.5^x - 1 = 3.5$.
(d)[3]
By drawing a suitable straight line, solve the equation $1.5^x - x - 2 = 0$.
(e(i))[1]
On the grid, place point A at $(5,5)$.
(e(ii))[1]
Draw the tangent to the graph of $y = 1.5^x - 1$ that passes through the point A.
(e(iii))[2]
Find the gradient of this tangent.