# What are the asymptotes of #y=3//(x-1)-2# and how do you graph the function?

Below

The domain and range are both found by letting y approach 0 and x approach 0 respectively.

graph{3/(x-1)-2 [-10, 10, -5, 5]}

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The asymptotes of the function y=3/(x-1)-2 are a vertical asymptote at x=1 and a horizontal asymptote at y=-2. To graph the function, plot the vertical asymptote at x=1 as a dashed line. Then, plot points on either side of the vertical asymptote and connect them with a smooth curve. Finally, draw the horizontal asymptote at y=-2 as a dashed line.

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