Writing exponential functions | High School Math | Khan Academy

less than 1m read

·Nov 11, 2024

G is an exponential function with an initial value of -2. So, an initial value of -2 and a common ratio of 17th. Write the formula for G of T.

Well, the fact that it's an exponential function, we know that its formula is going to be of the form G of T is equal to our initial value, which we could call a, times our common ratio, which we could call R, to the T power. It's going to have that form. They tell us what the initial value is, it's -2. So this right over here is -2, and we know that the common ratio is 17th. So this is 17th.

So let me just write it again a little bit neater. G of T is going to be equal to our initial value -2 times our common ratio 17th to the T power. Hopefully, this makes sense.

The initial value is this number. Well, if T is equal to zero, then 17 to the zeroth power is 1, and so G of 0, you can view that time as being equal to zero if you view T as time, would be equal to -2. So that would be our initial value.

Then, if you think about every time you increase T by one, you're going to multiply by 17th again. So the ratio between successive terms is going to be 17th. And so that's why we call that the common ratio. Hopefully, you found that interesting.

WET DOGS ---- IMG! #40

Howard Marks & Joel Greenblatt on Value Investing

View All

Systematic random sampling | AP Statistics | Khan Academy

In this video, we’re going to talk about random sampling, which we’ve already talked about in other videos. We’re going to compare what we already know about simple random sampling to a new type of random sampling that we’re going to introduce in this vid…

Jamestown - John Smith and Pocahontas

So, after getting a very late start, the English finally started a new world colony on the coast of North America in 1607. It was here at Jamestown. The English colonists at Jamestown could not have been less prepared to settle a new world. They came from…

Area between curves | Applications of definite integrals | AP Calculus AB | Khan Academy

[Instructor] We have already covered the notion of area between a curve and the x-axis using a definite integral. We are now going to then extend this to think about the area between curves. So let’s say we care about the region from x equals a to x equal…

Kevin O'Leary on CNBC's Closing Bell

You speak to a lot of companies and really see businesses investing in all sorts of companies. What would you, how would you characterize the business environment right now when it comes to hiring, when it comes to expanding, adding jobs? I think there’s…

Parallel structure | Syntax | Khan Academy

Hello grammarians. Hello Rosie. Hello Paige. Hi David. Hi David. Today all three of us are going to be talking about parallel structure. And I’ve always had trouble spelling the word “parallel,” but Rosie pointed out something just before we started reco…

Edgar the Exploiter

Simon’s new at the factory. If you ask him, he’ll tell you it’s a lousy job. He has to sweep up and carry things around. He only earns three dollars an hour. Even so, Simon prefers working here to the alternatives he sees for himself right now. Although …

Writing exponential functions | High School Math | Khan Academy

More Articles