(a)[1]
Fill in the values table for $y = \frac{2^x}{5}$.
(b)[3]
Sketch the graph of $y = \frac{2^x}{5}$ for $-1 \le x \le 4$.
(c)[2]
Use a suitable line on the grid to solve $2^x = 6$.
(d(i))[1]
Fill in the values table for $4y = 2x + 1$.
(d(ii))[1]
On the grid on page 8, sketch the graph of $4y = 2x + 1$ for $-1 \le x \le 4$.
(d(iii))[1]
Determine the $x$-coordinates of the points where the line $4y = 2x + 1$ intersects the graph of $y = \frac{2^x}{5}$.
(d(iv))[3]
The x-coordinates in part (d)(iii) are the solutions of the equation $A\times 2^x + Bx + C = 0$, where $A$, $B$ and $C$ are integers. Using $4y = 2x + 1$ and $y = \frac{2^x}{5}$, find the exact values of $A$, $B$ and $C$.