Question

Sketching graph

Answer 1

a) Sketch the graph of the function \[y=f(x)=\frac{ x+2 }{ x-2 }\]Determine and show clearly on your diagram, the asymptotes, intercepts with the coordinate axes, and the coordinate of stationary point(s), if any.
b) Explain how you can obtain. from the graph of f, a sketch of graph of the function\[y=g(x)=(\frac{ x+2 }{ x-2 })^{2}\]Show this sketch of g on same diagram as f.
In addition, sketch \[y=\frac{ 1 }{ g(x) }\]