What This Document Is
These are module notes for College Algebra (MAT 117) at Arizona State University, specifically covering equations, inequalities, and functions. The notes present a concentrated review of core algebraic concepts, including solving equations, working with function notation, and understanding basic graph properties. It also touches on quadratic equations and polynomial functions.
Why This Document Matters
These notes are essential for students enrolled in MAT 117. They serve as a focused resource for reviewing key concepts presented in Module C. Students can use these notes to reinforce their understanding before quizzes, exams, or when working through homework assignments. The material builds a foundation for more advanced mathematical topics.
Common Limitations or Challenges
This document is a condensed set of notes, not a comprehensive textbook or a substitute for attending lectures. It assumes a basic understanding of algebraic principles. It does not provide detailed explanations of *why* certain methods work, nor does it offer extensive practice problems with solutions. Students will still need to engage with the full course materials and seek help when needed.
What This Document Provides
This module note set includes:
* Examples of solving linear equations and inequalities.
* Illustrations of function composition (f-g)(x) and simplification.
* A review of graphing functions and identifying key features.
* The quadratic formula for solving quadratic equations.
* Methods for factoring quadratic expressions.
* An introduction to vertical and horizontal asymptotes.
* Examples of solving word problems involving area and dimensions.
* A brief overview of polynomial and rational functions.
This preview *does not* include detailed step-by-step solutions to all problems, nor does it cover every possible type of equation or function. It is a focused overview to highlight the core topics covered in Module C.
