yego.me
yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

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.

Predatory lending | Loans and debt | Financial Literacy | Khan Academy
Fireside Chat with Ivana Djuretic of Asher Bio

More Articles

View All
Photorespiration
We have other videos that go into some depth on the Calvin cycle, and we’ll refer to that in this video as the normal Calvin cycle. The focus of this video is really a quirk that diverts us from the normal Calvin cycle, and it’s a quirk due to this enzyme…
Gas mixtures and partial pressures | AP Chemistry | Khan Academy
In this video, we’re going to introduce ourselves to the idea of partial pressure due to ideal gases. The way to think about it is to imagine some type of a container, and you don’t just have one type of gas in that container; you have more than one type …
Terry Crews Skydives Over Iceland | Running Wild with Bear Grylls
Like a dream. Let’s get your chute up. I’m ready. Here we go. BEAR GRYLLS: Terry Crews and I just landed on a small airfield in the Icelandic mountains. Last night, he told me that skydiving was on his bucket list. Well, Terry, be careful what you wish f…
Rewriting expressions with exponents challenge 2 | Algebra 1 (TX TEKS) | Khan Academy
So we have an expression here that has a bunch of exponents in it. It seems kind of complicated, and what I want you to do, like always, is pause this video and see if you can work through this yourself. Essentially, working through this means simplifying…
Responding to a Capsized Boat with the U.S. Coast Guard - Smarter Every Day 277
Hey, it’s me, Destin. Welcome back to Smarter Every Day! Today, on Smarter Every Day, we’re going to continue our deep dive with the US Coast Guard, and we’re going to see how they accomplish their mission of saving people in peril and protecting the nati…
Do Robots Deserve Rights? What if Machines Become Conscious?
Imagine a future where your toaster anticipates what kind of toast you want. During the day, it scans the Internet for new and exciting types of toast. Maybe it asks you about your day and wants to chat about new achievements in toast technology. At what …