(a)[1]
Complete the table below.
(b)[2]
Using the grid below, draw the graph of $y=\frac{1}{4}\times2^x$.
(c)[2]
By drawing an appropriate line, find the gradient of the graph at $x=4$.
(d(i))[1]
Show that the line $2x+y=6$, together with the graph of $y=\frac{1}{4}\times2^x$, may be used to solve the equation $2^x+8x-24=0$.
(d(ii))[2]
Hence, solve $2^x+8x-24=0$.
(e(i))[1]
Determine the gradient of $PQ$.
(e(ii))[1]
On the grid, draw the line $l$, parallel to $PQ$, that touches the curve $y=\frac{1}{4}\times2^x$.
(e(iii))[2]
Write down the equation for $l$.