How do you graph # y = 1/ (x -2)#?

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Answer 1 · 2018-01-31T22:17:45

Read below.

We will use the asymptotes to graph this.

Since the numerator has a lower degree than the denominator, the horizontal asymptote is at #y=0#

To find the vertical asymptote, we try to find when our function is undefined.

We see that when #x=2#, the function becomes #1/0#, making it undefined.

Therefore, the vertical asymptote is #x=2#

Now, we use #-5,-4,-3,-2,-1,0,1,3,4,5# as our #x# values to get the #y# values, and plot the points.

Now connect the points. Remember, the curve will never touch the asymptote. It will get closer and closer.

I have a graph from Desmos.com

enter image source here