(a(i))[1]
Complete the entries in the table for $y = \frac{4^x}{10}$.
(a(ii))[3]
Draw the graph of $y = \frac{4^x}{10}$ over $0 \le x \le 3$.
(a(iii))[1]
Use your graph to solve the equation $\frac{4^x}{10} = 5$.
(a(iv))[2]
Estimate the gradient of $y = \frac{4^x}{10}$ at $x = 2$ by drawing a tangent.
(b)[3]
The diagram shows a sketch of the graph of $y = x^2 + ax + b$. Find the value of $a$ and the value of $b$.