1.1. $f(x)=\frac{{x}^{2}}{4}-\frac{4}{x}$, $x\neq0$  
Complete the table for $f(x)$.

1.2. The graph of $y=f(x)$ for $-6\leqx\leq-0.5$ is drawn on the grid.

On the same grid, draw the graph of $y=f(x)$ for $0.5\leqx\leq6$.

1.3. By drawing a suitable tangent, estimate the gradient of the graph of $y=f(x)$ at the point (–4, 5).

1.4. $g(x)=\frac{9}{x}$,  $x\neq0$  
Complete the table for $g(x)$.  

1.5. On the same grid, draw the graph of  $y=g(x)$ for  $-4\leqx\leq-1$  and  $1\leqx\leq4$.

1.6. i) Use your graphs to find the value of $x$ when  $f(x)=g(x)$.

$x$ = ................................................. [1]

ii) Write down an inequality to show the positive values of $x$ for which  $f(x)>g(x)$.

 [1]