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

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