In this week of pre calc 11 we worked on Reciprocal Function and how to graph them.
The Reciprocal function is the function that has a “x” in the denominator like: 1/x
Before graphing there are some concepts that we need to know about them.
- Invariant Point: These are the only points that are always the same in the parent function’s graph and reciprocal graph. The point have the y of “1 “and “-1”.
- Asymptotes: We have 2 kinds of asymptotes which are “Vertical Asymptotes” and “Horizontal Asymptotes”. (This year the horizontal asymptotes for all the graphs is y=0) The vertical asymptotes is related to the x-intercepts of our parent function. It’s where the function become undefined so our graph can’t touch those lines.
For graphing them first of all we need to graph the parent function, and then find Invariant Points. After finding invariant points we need our asymptotes. Our Horizontal asymptote is “y=0” and our vertical asymptote is where the denominator of our function become zero. After that we can graph our Hyperbole.
Example: y = 1/x+3
