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`g(x)=-2/(x-7)` Graph the function. State the domain and range.

We are asked to graph the function `y=(-2)/(x-7) ` :


Note that this is a transformation of the function y=1/x whose graph is a hyperbola. The graph has been reflected over the horizontal axis, translated 7 units right, and a dilation of factor 2 has been applied.


There is a vertical asymptote at x=7 and a horizontal asymptote at y=0. The y-intercept is 2/7.


The graph:


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