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.

This Is How Old You Are | Brain Games

Should We Seek Immortality?

View All

Kat Manalac's Whale AMA

We usually let the startups in each batch decide when they want to launch. Um, so most of the startups in the winter ‘17 batch haven’t announced yet. But, um, there is one female founder who has announced her company. Um, it’s called Simple Habit. It is a…

Estate planning introduction | Insurance| Financial literacy | Khan Academy

So let’s talk a little bit about something that, frankly, I do not like to talk about and I don’t think most people like to talk about. That’s the notion of becoming very ill and dying, and then what happens to everyone that you leave behind. To understa…

Life of Muhammad and beginnings of Islam part 1 | World History | Khan Academy

Now going to give an overview on the beginnings of Islam. Regardless of whether you are part of an Islamic culture, you are a practicing Muslim, or you believe in the Islamic Traditions, it’s valuable to learn about the beginnings of Islam because today n…

Squire, Edlyft, Promise: The Journey, Challenges, & Impact

My co-founder Dave and I didn’t have any history working in the barbershop industry or in tech for that matter. Both of us had been going to barber shops for years. I started going as a kid, around six or seven, with my dad. It was like 20 years later, an…

Half the universe was missing... until now

This episode was sponsored by KiwiCo. More about them at the end of the show. Until recently, half the universe was missing or hidden or just… undetected. And no, I’m not talking about dark matter or dark energy, which make up 27 and 68 percent of our un…

Catch of the Week - Nine Foot Monster | Wicked Tuna: Outer Banks

[Applause] [Music] Yeah, that looks like a p. Look at this, bro. It’s definitely weird to be fishing this close to shore; there’s no doubt about it. But as you can see, there’s a guy yanking on one right next to us, and we’re seeing plenty of bird life w…

Writing exponential functions | High School Math | Khan Academy

More Articles