Given : \(f(x)=\frac{-3}{x+2}+1\)
1. Determine \(f(-3)\).
2. Determine \(x\) if \(f(x)=2\)
3. Write down the asymptote of \(f\)
4. Write down the domain of \(f\)
5. Determine the coordinates of the \(x\) and \(y\) intercepts of \(f\)
6. Determine the equation of the axis of symmetry of \(f\) which has a negative gradient. Leave your answer in the form \(y=m x+c\).
7. Sketch the graph of \(f\). Clearly show ALL intercepts with the axes and the asymptotes.