Advanced Algebra 3.1 | Mr. Bartos Website

Overview:

This unit introduces functions.Throughout the unit, students will use a variety of tools to investigate the nature of functions (linear, exponential, piecewise, absolute value, polynomial, and rational) from multiple representations. Student will graph functions, find their maximum and minimum values, and determine their attributes solely from their equations. 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.

We will deal 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. We will also discuss finding the ranges of functions. 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. The study of the properties of functions will be the focus of most of the rest of algebra, as well as pre-calculus and calculus.

Day 53:

Pre-Req Skill: Graphing All Types of Functions Review

Answer Key

Day 54:

Notes: Transformations of Functions & Graphing Radical/Absolute Value Inequalities

Check for Understanding: Graphing Radical and Absolute Value Inequalities

Check for Understanding Solutions: Graphing Radical and Absolute Value Inequalities Key

Day 55:

Notes: Characteristics of the Graphs of Functions

Homework: Characteristics of the Graphs of Functions

Homework Solutions: Characteristics of the Graphs of Functions

Day 56: