Interpolated Functions with Asymptotes

[Hannah_Burson]

In the process of making activities where students graph a function with given limit statements, I am needing to define functions given a couple of points and one or more asymptotes. I am also publishing each of these into their own activity because I think it could be useful for others.

One horizontal Asymptote, same end behavior on both ends

One horizontal Asymptote, only approaches it on the left

[Hannah_Burson]

Function Between Two Vertical Asymptotes

One Vertical Asymptote and One Horizontal Asymptote

One Vertical and One Horizontal, more movable points

One Vertical Asymptote