Precalculus Honors Name_________________________ Intro Chapter 4- Parent Functions Date__________________________ x y Mathematics is a foreign language, as I’m sure you would agree, and as in any foreign language, understanding the subtleties of the language depends upon a clear understanding of the “words” that make up the language. It really is imperative that you have a good understanding of the concepts of domain, range, and function and that you know how to read information from a graph. Hence this worksheet. I entreat you to earnestly work at this, talk with the other students about these problems and try to internalize the various concepts as you work through the problems. These concepts are the initial building blocks of the language and the framework for this semester. What I would like you to do is to graph the following functions and then indicate what the domain and range are. There are patterns of graphing in the following problems. The first equation in each group is the “parent functions” by which I mean the most basic kind of function. The problems in each group are variations of these basic functions. Try to understand how certain numbers in each equation “transform” the basic parent functions, that is, how certain numbers in each equation move the basic function to a new location. **Calculators or no calculators, that is the question.** My suggestion to you would be that you use your calculator only if you have no idea what the graph looks like. Once you know the shape of the parent function you should be able to sketch the other graphs without a calculator. Group 1: Linear Functions Domain Range 1. x y 2. x y 2 3. x y 3 4. 4 x y 5. 2 y