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Unformatted text preview: s with functions, we need to take some time to gather
our thoughts and gain some perspective. Chapter 1 ﬁrst introduced us to functions in Section 1.4.
At that time, functions were speciﬁc kinds of relations - sets of points in the plane which passed the
Vertical Line Test, Theorem 1.1. In Section 1.5, we developed the idea that functions are processes
- rules which match inputs to outputs - and this gave rise to the concepts of domain and range.
We spoke about how functions could be combined in Section 1.6 using the four basic arithmetic
operations, took a more detailed look at their graphs in Section 1.7 and studied how their graphs
behaved under certain classes of transformations in Section 1.8. In Chapter 2, we took a closer
look at three families of functions: linear functions (Section 2.1), absolute value functions1 (Section
2.2), and quadratic functions (Section 2.3). Linear and quadratic functions were special cases of
polynomial functions, which we studied in generality in Chapter 3. Chapt...
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