Precalculus

Doing calculus, we work with functions. Not only that, of course, but equations, too, often need to be taken care of. What equations though?They are equations of curves as lines, parabolas, circles, etc. And functions have their curves, too. So working with functions, we often need to manipulate their curves.And thus, doing calculus, we not only work with functions, but manipulate curves, too, that is, equations not only for unknowns but curves, also.So this book is about manipulating curves, that is, graph operations.Using math vocabulary though, we call them transformations. So this book is designed to help get used to transformations, which are basic tools, often used in solving problems as well as taking courses in calculus.Doing transformations, we move or change curves, and in fact, if you will, we do all kinds of cooking curves. And this book will help you understand not only theoretically but pragmatically, too, how to do transformations, and contains lots of examples in such.This is in fact, a book of examples, so ideas or rules as formulas, or laws or principles are explained through examples. Each example is fully worked out and detailed, along with a summary at each end. So this book helps develop and grow manipulation and calculation technics on not only functions and equations but their curves, too, and therefore, will help strengthen problem-solving skill.