This section focuses on investigating functions both graphically and mathematically.
Lessons in this section specifically teach:
- Identifying the maximum and minimum values of a function both by investigating a graph and using Algebra.
- Identifying the rate of change of a function
- Understanding the concept of limit
- Recognizing and using asymptotes
- Understanding and using function notation
- Parent functions and the use of transformations
- Recognizing the difference between functions and relations
- Understanding the concept of intervals and the use of interval notation
By the time you finish this section, you should have a fresh understanding of what functions are, and how to manipulate them to find specific bits of information.
The concepts in this section explore the identification, transformation, combination, and application of linear, quadratic, cubic, and non-standard functions.
Prerequisites should include:
- A solid understanding of arithmetic, pre-algebra, and manipulation of equations
- Exposure to graphing with the Cartesian coordinate system
- Familiarity with the concepts of infinity and absolute value
Helpful would be:
- A basic familiarity with the concept of functions and the use of a graphing calculator
- Previous exposure to graphing quadratic functions and shapes
- A basic understanding of interval notation