(a(i))[1]
Complete the table shown.
(a(ii))[3]
Draw the graph of $y=3+x-\frac{x^2}{2}$ for $-3\le x\le5$ on the scales provided.
(a(iii))[2]
Estimate the gradient of the curve at $(3,1.5)$ by drawing a tangent.
(a(iv)(a))[1]
Find the value of $k$ when the intersection points with the line $y=k$ satisfy $10+2x-x^2=0$.
(a(iv)(b))[2]
By drawing the line $y=k$ on your graph, determine the solutions of $10+2x-x^2=0$.
(b(i))[1]
State the value of $p$ when $y=pa^x$ passes through $(0,4)$ and $(2,36)$.
(b(ii))[1]
Determine the value of $a$.
(b(iii))[1]
The graph goes through the point $(4,q)$. Determine the value of $q$.