Chapter 1: Functions
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Course: MATH 141 (Precalculus I)
Overview
The language of calculus starts here. Functions are the fundamental objects of study throughout mathematics, and understanding how to work with them is essential for success in calculus.
Source Material: OpenStax Precalculus Chapter 1 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 1.1 | Functions and Function Notation | Defining functions, evaluating, function notation |
| 1.2 | Domain and Range | Finding domain/range from equations and graphs |
| 1.3 | Rates of Change and Behavior of Graphs | Average rate of change, increasing/decreasing |
| 1.4 | Composition of Functions | Composing functions, decomposition |
| 1.5 | Transformation of Functions | Shifts, reflections, stretches |
| 1.6 | Absolute Value Functions | Absolute value graphs and equations |
| 1.7 | Inverse Functions | Finding and verifying inverses |
Skills in This Chapter
What This Unlocks
Mastering functions prepares you for:
- Chapter 2: Linear functions as a special case
- Chapter 3: Polynomial and rational functions
- Chapter 4: Exponential and logarithmic functions
- Stewart 1.1: Four ways to represent a function (calculus perspective)
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|---|---|---|
| — | Precalculus | Chapter 2 |