(a(i))[1]
Fill in the table for $y = \frac{2^x}{5}$.
(a(ii))[3]
Using the grid, sketch the graph of $y = \frac{2^x}{5}$ for $0 \leq x \leq 5$.
(a(iii))[2]
Show that $\frac{2^x}{5} = \frac{5}{2}$ from the given information.
(a(iv))[2]
Use a line drawn on the grid to solve $2^{x+3} = 100$.
(b)[3]
The sketch shows the graph $y = a + bx - x^2$. It meets the $x$-axis at integer values of $x$. Find the value of $a$ and the value of $b$.