Math 092 Module 5 Lesson 2 - Exponential Functions

This is Math 092 Module 5 Lesson 2. It overviews key concepts pertaining to what an exponential function is, graphing exponential functions with transformations and tables of values, situations and contexts in which exponential functions may be observed, and how the formulas for simple, compound, and continuously compounded interest are developed and implemented. See the timestamps below to refer to specific parts of the lesson.

0:00 Exponential function scenario 1 - payment structure comparison
4:30 Exponential function scenario 2 - mice doubling on an island
7:14 Exponential function scenario 3 - COVID-19 cases
10:29 General case of an exponential function - exploring different base values
11:58 Graphing exponential functions with transformations
15:29 Investment example - simple and compounded interest
21:24 Compound interest formula generalization with examples
23:58 Compounded continuously example leading to continuous growth/decay and the natural growth rate base of e
27:02 Continuous compound interest formula generalization with example
29:58 Exponential function of decay of medication in bloodstream example