Question

How do you graph `y = 3/x`?

Answer 1

The graph should look like this: graph{3/x [-10, 10, -5, 5]}

Explanation:

Let's use some asymptotes to guide us.

First, since the numerator is in the lower degree than the denominator, the horizontal asymptote is `y=0`

Second, since `x=0` makes the function undefined, the vertical asymptote is `x=0`

We can now plug in the `x` values of `-5,-4,-3,-2,-1,0,1,2,3,4,5` into our function and graph the result.

We connect the points.
Remember: the graph should curve so that as we get closer to `x=0`, we get really really close to the `y` axis, and as we keep going to the left/right, we get closer and closer to 0, but never reach it.