About This Chapter
Below is a sample breakdown of the Functions: College Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Functions and transformations||Uses of function notation, shifting graphs on a plane|
|Tuesday||Values in a function||Domain, range, values not permitted in functions,|
|Wednesday||Performing calculations with functions||Adding functions, subtracting functions, multiplying functions, dividing functions|
|Thursday||Composing and identifying inverse functions||Composition of functions, inverse functions|
|Friday||Function operations||Practice steps required to resolve function operations, practice composition and identifying domain, range and inverses|
1. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
2. Transformations: How to Shift Graphs on a Plane
What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!
3. What Is Domain and Range in a Function?
The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.
4. How to Add, Subtract, Multiply and Divide Functions
Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!
5. How to Compose Functions
Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.
6. Inverse Functions
Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.
7. Applying Function Operations Practice Problems
In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!
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Other chapters within the College Algebra Syllabus Resource & Lesson Plans course
- Foundations & Linear Equations: College Algebra Lesson Plans
- Matrices & Absolute Value: College Algebra Lesson Plans
- Inequalities: College Algebra Lesson Plans
- FOIL, Parabolas & Quadratics: College Algebra Lesson Plans
- Complex Numbers: College Algebra Lesson Plans
- Exponents & Polynomials: College Algebra Lesson Plans
- Rational Expressions: College Algebra Lesson Plans
- Exponentials & Logarithms: College Algebra Lesson Plans
- Probability Mechanics: College Algebra Lesson Plans
- Sequences & Series: College Algebra Lesson Plans