This activity will help students build an understanding for rational functions. Through the activity students will be engaged in comparing the rational function y = 1/x and y = 1/(x-1) with transformed equations of both. Students graph each transformed equation and study its vertical and horizontal asymptotes, From the changes in the asymptotes, students write a transformed equation. Then students show algebraically that two equations are equivalent.
Students also use sets of table values to confirm the transformations.
The activity includes student recording sheets where students can record their observations.