Unit+3

=Unit 3 Exponential, Logistic, and Lograithmic Functions= =Video/Resources= []

**Objectives**
You will be able to evaluate exponential expressions and be able to identify and graph exponential and logistic functions.
 * Key Ideas**
 * Algebraic function || Exponential growth and decay factors ||
 * Base (of an exponential function) || Limit to (logistic) growth ||
 * Basic logistic function || Logistic function ||
 * Exponential function || Logistic growth and decay ||
 * Exponential growth and decay || The natural base //e// ||

**Objectives**
You will be able to model real-world problems involving exponential and logistic growth and decay. You will be able to convert among algebraic, graphical, and numerical models for exponential and logistic growth.
 * Key Ideas**
 * Constant percentage rate || Maximal sustainable population ||
 * Half-life || Radioactive decay ||

**Objectives**
You will be able to convert equations between logarithmic form and exponential form, evaluate common and natural logarithms, and graph general logarithmic functions.
 * Key Ideas**
 * Common logarithm || Logarithmic function ||
 * Decibel || Natural logarithm ||

**Objectives**
You will be able to apply the properties of logarithms to evaluate expressions, change bases, and re-express data.
 * Key Ideas**
 * Change-of-base formula for logarithms || Properties of logarithms ||
 * Kepler's Third Law || Re-expression of data ||

**Objectives**
You will be able to apply the properties of logarithms to solve exponential and logarithmic functions algebraically. You will be able to solve applied problems using these equations.
 * Key Ideas**
 * Newton's Law of Cooling || pH ||
 * Order of magnitude || Richter scale ||

**Objectives**
You will be able to use exponential functions and equations to solve business and finance problems related to compound interest and annuities.
 * Key Ideas**
 * Annual percentage rate (APR) || Compounded continuously ||
 * Annual percentage yield (APY) || Future value of an annuity ||
 * Annuity || Ordinary annuity ||
 * Compound interest || Present value of an annuity ||