Introduction to Precalculus: Function

This set of precalculus cards includes the basic elements of function. Each card covers the lesson with definitions of related math terms explained with diagram and graph. When sample problems are helpful to understand the topic, they are included with complete solution so that students may learn how to solve such problems completely and correctly. This set of cards can be used as an outline in class or provided to students to review and study.

Lessons included in this product are listed below.

Chapter 1 Functions from a Calculus

1.1 Functions

- Subsets of real numbers

- Set-builder & interval notation

- Representations of function

- Function (domain, range, and implied domain)

1.2 Analyzing Graphs of Functions and Relations

- Analyzing function graphs

- Symmetry of graphs

- Even and odd functions

- Vertical line test

1.3 Continuity, End Behavior, and Limits

- Limit

- Continuity vs. discontinuity (removable, infinite, and jump)

- Continuity test

- Intermediate Value Theorem and Location Principle

- End behavior

1.4 Extrema and Average Rate of Change

- Increasing / decreasing behavior

- Critical point

- Point of inflection

- Average rate of change

1.5 Parent Functions and Transformations

- Parent functions

- 8 basic functions: constant, identity, quadratic, cubic, square root, reciprocal, absolute value, and piece-wise functions (Separate cards with each function and its description are included.)

- Transformations (translation, reflection, and dilation)

- Transformations with Absolute Value

1.6 Function Operations and Composition of Functions

- Operations with functions

- Composition of functions

1.7 Inverse Relations and Functions

- Inverse functions

- Horizontal line test

These cards do not only provide the definitions of terminology, but also include appropriate examples, diagrams, or/and graphs to best help students' understanding of the topics that they need in order to better understand further lessons in precalculus.

Each page contains four separate cards. You may use it as it is or cut to make flash cards. I hope you find it interesting and helpful!