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.

Chef Wonderful's Game-Changing Kitchen Gadget l Turbo Trusser
Q&A with YC Partners at Startup School SV 2016

More Articles

View All
Long run supply when industry costs are increasing or decreasing | Microeconomics | Khan Academy
What we have here we can view as the long run equilibrium or long run steady state for a perfectly competitive market. Let’s say this is the market for apples and it was this idealized perfectly competitive situation where we have many firms producing. Th…
The Importance of Art Education | StarTalk
There’s a big issue, uh, probably in other places in the world, but we feel it a lot here in the States. The funding for Arts education is always under stress, and the school boards are wondering: Do we cut the art? Do we keep the science? And there’s ten…
2015 AP Calculus AP 2b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy
Part 2b: Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid. All right, so region S we see it right over here. In the last part, we already said that this function is f and this func…
A Fish Called Obama | Sea of Hope: America's Underwater Treasures
We were up at Cure, which is at the, uh, farthest island out in the chain. We were down at 300 feet in an area where we’ve documented every single fish. On this reef is a species known only from the Hawaiian Islands. It’s truly the most unique set of fish…
My response to Kevin O’Leary | Shark Tank
What’s up guys, it’s Graham here. So let me just start off by saying this: I’ve been watching the show “Shark Tank” back when it first came out in 2009. For anyone who’s not aware of the show, it’s basically where entrepreneurs can pitch their ideas to a …
How To Make Your Life Insanely Simple (In 6 Months)
I used to feel overwhelmed every day, trying to do too much, try to be everywhere, try to be everything to everyone. And then I realized something: life wasn’t supposed to be this complicated. The truth was I was choosing complexity. It took me 6 months t…