Rational Functions & Asymptotes (Book 5.0)

Book 5 of The Calculus Bridge. What does a function do near an input it can't take? This book is the first real hint of a limit — a graph that gets closer and closer to a wall without ever touching it.

Three short chapters:

• Where a Function Breaks: vertical asymptotes versus holes — and how factoring tells you which is which.
• Horizontal Asymptotes: the Long View: compare the degrees of the top and bottom to see where the graph settles far from the middle.
• Putting It Together: a repeatable routine for sketching any rational function from its formula.

Inside: a "Choose Your Move" checklist, a 20-problem practice set with full worked answers, and two short checkpoints — one before you read, one after — so you can see your own progress. Includes a page for parents and a page for teachers with standards notes.

Delivered instantly as a PDF.