Question

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

Answer 1

Read below.

Explanation:

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