Unit 2 - Intro to Algebra 2 (Parent Functions & Translations)
Section 1 - Functions vs. Relations
The first section deals with the difference between relations and functions. It explains how to represent relations and functions using both mapping diagrams and graphs. It also explains how to determine whether or not a relation is a function, given a representation of that relation.
Section 2 - Domain & Range
The second section deals with domains of functions and relations; that is, the set of values which are inputs for a relation or function. It explains how to determine the domain of a relation. It also deals with two types of restricted domain--restrictions of an infinite set of numbers, and restrictions of a few points. Some functions cannot take certain values as inputs, and this section details how to find those values. This section also deals with ranges of functions and relations. While domain is the set of inputs of a function, range is the set of outputs. Both are important to mention when describing a graph or function.
Section 3 - Parent Functions and Their Characteristics (Translations)
Much of Algebra II and Calculus is concerned with the study of the properties of functions and their translations. Here, the student will graph functions, find their maximum and minimum values, and determine their attributes. Functions will be used to solve many different types of problems. However, one must first learn the basics--how to recognize a function, and how to determine its domain and range.