Chapter 5
Funky Functions and Their Groovy Graphs
IN THIS CHAPTER
Figuring out functions and relations
Learning about lines
Getting particular about parabolas
Grappling with graphs
Transforming functions and investigating inverse functions
In Chapter 5, you continue your pre-calc warm-up that you began in Chapter 4. If algebra is the language calculus is written in, you might think of functions as the “sentences” of calculus. And they’re as important to calculus as sentences are to writing. Virtually everything you do in calculus concerns functions and their graphs in one way or another. Differential calculus involves finding the slope or steepness of various functions, and integral calculus involves computing the area underneath functions. And not only is the concept of a function critical for calculus, but it’s also one of the most fundamental ideas in all of mathematics.
What Is a Function?
Basically, a function is a relationship between two things in which the numerical value ...
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