In this week of Pre-Calc we learnt how to graph reciprocal linear and quadratic functions.

One main point to graphing reciprocal functions is making sure you know where the interveniant numbers (which are 1 and -1) are located because the asymptotes will always be between those points and it will show where the restrictions are so you can graoh your parabloa.

Example: Linear funtions

the red line is refering to the linear function which is y=3x-5 (original graph)

the blue hyperbola() has interveniant numbers that are connected with the linear graph, and between those interveniant numbers is the asymptotes(x=1.667) which is the green line and that is the restriction for the hyperbola. The hyperbola may not touch the x axis or the asymptote.

Example: Quadratic Funtions

The red parabola is the original quadratic function which is y=x^2+2x-2

The hyperbola () has 4 interveniant points, so that means that is has 2 asymptotes which the hyperbola cannot touch. The defined points on the graph below are the asymptotes.