(a(i))[2]
From $f(x)=\frac{2x+7}{3}$, determine $f^{-1}(x)$.
(a(ii))[2]
If $f(m)=\frac{m}{2}$, determine $m$.
(b(i))[3]
Fill in the table of values for $y=6+x-x^2$, and then use it to sketch the graph of $y=6+x-x^2$ on the grid opposite.
(b(ii))[1]
Estimate the maximum value of $6+x-x^2$ from your graph.
(b(iii))[2]
By drawing the line $x+y=4$, estimate the solutions of $2+2x-x^2=0$.
(b(iv))[2]
The equation $x-x^2=k$ has one solution at $x=3.5$. Using a suitable line on the grid, find the other solution, and label your line $L$.