Math 5 - Power Functions and Graphs
Power and Polynomial functions and graphs
Behavior of Even and Odd Power Functions
Behavior of Odd Power Functions
Polynomial Functions
Degree and Leading Coefficient of a Polynomial Function
Local and End Behavior of Polynomial Functions
Degree and Turning Points. Intercepts.
Simplifying higher degree functions.
Zeros and Their Multiplicities
Graphing Polynomial Functions
Polynomial division
Long and Synthetic Division
Theorem
Remainder Theorem
Factor Theorem
Rational Zero Theorem
Fundamental Theorem
Complex Conjugate Theorem
References
https://openstax.org/books/algebra-and-trigonometry-2e/pages/5-4-dividing-polynomials
The material in this course is the cpmpherensive notes from following books
* Algebra 1e_openStaxBook.pdf by OpenStax Sante Ana College
* College-Algebra-2e-WEB.pdf and Algebra-and-Trigonometry-2e-WEB.pdf
Curriculum
- 4 Sections
- 13 Lessons
- 0m Duration
Power function
- Power function
Higher degree polynomial functions
- Polynomial function
- Polynomial Intercepts
- Solve higher degree polynomials
- Graph higher degree polynomials
- Find Polynomial Function from Graph
- Long and Synthetic Polynomial division
Theorems
- Remainder Theorem
- Factor Theorem
- Rational Theorem
- Fundamental Theorem
- Complex conjugate Theorem
Application problems
- Question 1
Related Courses
Math 7 - Logarithm Function and Graphs
- Why Logarithms
Converting Logarithmic to Exponential Form
Evaluating Logarithms
Common and Natural Logarithms , - Graphing Logarithmic Function
Domain of a Logarithmic Function
Transformations of Logarithmic Functions
Vertical Asymptote of a Logarithm Graph - Logarithm properties
Simplify log expressions
Change-of-Base Formula for Logarithms
Math 6 - Exponential Function and Graphs
- Exponential Functions
Exponential Growth, Evaluate Functions,
Finding Equations of Exponential Functions
Writing an Exponential Function Given Its Graph - Compound-Interest
Base “e” – Eulers constant - Continuous Growth and decay
Math 4 - Rational and Radical - Functions and Graphs
- Rational Functions and graphs behavior
Discontinuity and Vertical & Horizontal Asymptote
Intercepts of Rational Functions
Rational functions Graph and transformations
Applications for Rational equations
Rational Inequalities - Radical Functions and Graphs
