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Arithmetic Sequences - You've studied a lot of linear and exponential functions and learned many things about them! Now let's look at some linear functions in a whole new way, including a whole new way to write them, here!
Lesson - Arithmetic Sequences
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Geometric Sequences - Now that we've seen how to look at linear functions in a different way, what about functions that deal with an exponent instead? Learn how to look at, write, and solve them in a different way using the method of finite differences here!
Lesson - Geometric Sequences
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Geometric Series - So, what happens if you have a geometric sequence that continues on, and you want to add all of the answers you get together? Do you just solve for however many times, and then add the answers together? Is there a better way? Learn how to solve this easier here!
Lesson - Geometric Series
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Exponential Growth Functions - Now let's look at how to determine if the exponential function you may be looking at is a growth function or not. The question that comes to mind is, does growth always go up? Can it go down? Learn how it determine the official definition here!
Lesson - Exponential Growth Functions
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Exponential Decay Functions - So now you know how to recognize an exponential growth function, but what about a decay function? Does a decay function mean it goes down? Can a decay function go up still? Learn how to determine that, and more, here!
Lesson - Exponential Decay Functions
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The Base e - Now we're going to switch gears and talk a little bit about Euler's number (pronounced Oiler's). Learn about the function that determines Euler's number, as well as how useful it is in the real world, here!
Lesson - The Base e
Compound Interest - So, we now know what Euler's number is and how to use it, and believe it or not, in relation to exponential growth and decay, this can become very helpful. Learn how compound interest works, and how you can either make, or lose money more frequently when it is applied to a loan!
Lesson - Compound Interest
Defining & Evaluating a Logarithmic Function - Now that we've dealt a lot with exponents, what about trying to undo them? We can always take the root, but what if we just want to know what exponent a base needs to be taken to, to get a certain number? Learn about that and more here!
Graphing Logarithmic Functions - So you know what a logarithmic function is, and how to use them. But, what if we want to find a certain answer that may seem a little off? How can we find what we are looking for? Well, that's where graphing comes in to play! Learn how to graph logarithmic functions to help determine answers that may not be that obvious!
Lesson - Graphing Logarithmic Functions
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