This week in Precalculus 11, we learned about Reciprocal Functions.

There are 4 steps to graphing them:

First, graph the linear or quadratic parent function. Once the parent function is graphed, identify the invariant points – which is always 1 and -1 on the y-axis. Next, identify the asymptotes. The horizontal asymptote is always y = 0 and the vertical asymptote is placed at the x-intercept. Lastly, draw the hyperbola, in which you start at the invariant points and draw the lines closer and closer to the asymptotes but never touching or crossing the asymptotes. There are no x-intercepts, as the hyperbolas don’t ever touch the x-axis.