We are introducing two new functions in this Credit Unit: Exponential and Logarithmic Functions. Most of you will have had some experience with exponential functions in earlier algebra classes. We will start with the characteristics of basic exponential functions, and move on to applications of the exponential function, including exponential growth and decay functions, compound interest, and continuous growth.
Then we will look at the graphs of exponential functions, and their two characteristic shapes, and use transformations to graph complex exponential functions.
Logarithmic functions may be entirely new for you. We will start with the characteristics of basic logarithmic functions and properties, and learn to use the properties of logarithms to expand and condense expressions and solve exponential equations.
We will cover why logarithmic functions have their characteristic shape and use transformations to graph more complex logarithmic functions.
Why are we interested in exponential and logarithmic functions? There are a lot of great applications for applied exponential and logarithmic models in real world situations. We will work with several different applications. Last, we will fit exponential models to data.
The Competency Assessment for this Credit Unit is similar to the Competency Assessment from Credit Unit 2 where you fit a linear model to a data set. For this Competency Assessment you will want to be looking for a data set that is exponential in nature.
Recognize when and how to proficiently apply algebra tools to solve problems in business, science, and subsequent mathematics courses.
Collaborate to solve college algebra problems.