# How do you graph #f(x)=2/(x-1)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

#x = 1# the vertical asymptote of#f(x)# #y = 0# the horizontal asymptote of#f(x)# #(0, 2)# the#y# -intercept#f(x)# has no#x# -intercept

#### Explanation:

The graph of

#x = 0# a vertical asymptote#y = 0# a horizontal asymptote#y = 1//x# contains two separate branches and is decreasing on both intervals.

Translating the graph of

#x = 0 + 1# the vertical asymptote of#f(x)# #y = 0 xx 2 = 0# the horizontal asymptote of#f(x)#

The branched feature from

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