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Given: $f(x)=\frac{4}{x}+2 \quad$ and
$x^{2}+y^{2}=9$
1. Write down the equations of the asymptotes of $f(x)$.
2. Determine the coordinates of the $x$ - and $y$-intercepts of $f(x)$.
3. Determine the radius of the circle.
4. Sketch the circle and the graph of $f(x)$ on the same system, indicating all the asymptotes and the intercepts with the axes.
5. Determine the equation of the line of symmetry of $f(x)$, with a negative gradient.
6. What is the range of $f(x)$ ?
7. Give the domain of the circle.
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