“The greatest shortcoming of the human race is our inability to understand the exponential function.” Albert Bartlett

**Learning objectives**

- Recognize and model linear functions in graphical, numerical, and algebraic form
- where
- (slope)

- Recognize exponential functions in graphical, numerical, or algebraic form
- Model exponential data in each of the forms , using half life or doubling time , or growth rate
- Understand why we think in terms of families of functions
- Distinguish parameters from independent variables
- Use R to define functions and make graphs

**Before class**

- Read Hughes-Hallett 1.1 – 1.3, 1.5 – 1.7 (but skip p. 55).
- Ponder problems (work, ask about, but do not turn in) (1.1)4, 14; (1.2) 8,16,28; (1.3)10, 14, 38,44; (1.5)6,12,18,24; (1.6)24,28; (1.7) 4,16,24.
- Consult the main points of the lesson and some review.
- Play with an app on families of functions
- Remember to bring your laptop to class.

**In class**

- Exponential problems. For more semilog graph paper:
- Using R as a calculator
- Work with R (graphing functions) StartR Section 2.1 Work in pairs.
- Some solutions