Functions · 27 lessons

A function is a rule that takes an input and gives back exactly one output. That definition decides which inputs are allowed, when a rule can be run backwards, and why some graphs have gaps.

1. 1Function Notation
2. 2Domain and Range
3. 3Piecewise Functions
4. 4Graphing a Piecewise Function
5. 5Making a Piecewise Function Continuous
6. 6Composite Functions
7. 7Inverse Functions
8. 8Restricting the Domain for an Inverse
9. 9When a Composite Function Exists
10. 10Transforming Graphs
11. 11Exponentials and Logarithms
12. 12Exponential Growth
13. 13Exponential Decay
14. 14Growth and Decay Problems
15. 15Logistic Growth and Carrying Capacity
16. 16The Laws of Logarithms
17. 17The Change of Base Rule
18. 18The Natural Logarithm
19. 19Solving Exponential Equations
20. 20Logarithmic Graphs
21. 21Straightening Growth with Logarithms
22. 22Straightening a Power Law
23. 23Fitting a Logarithmic Model
24. Functions (17)
25. 24sinh, cosh and tanh
26. 25The Identity cosh²x − sinh²x = 1
27. 26Inverse Hyperbolic Functions
28. 27Inverse Hyperbolics as Logarithms
29. Hyperbolic Functions (10)