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.

Office Hours with Adora Cheung

Adding integers: find the missing value | 7th grade | Khan Academy

View All

The Kangaroo is the World's Largest Hopping Animal | National Geographic

[Music] The kangaroo, one of Australia’s most recognizable marsupials. There are a handful of species found all over the country, from the antillipine kangaroo in the far northern reaches to the aptly named eastern gray. The only large animal to hop as a…

Augustus becomes first Emperor of Roman Empire | World History | Khan Academy

We finished the last video in the year 40 BCE, where the year began with the Parthian invasion of Syria and the Eastern provinces of the Roman Republic. And really, is it an Empire, the Roman Republic, or the Roman Empire? But Mark Anthony, who was in co…

Intro to adverbs | The parts of speech | Grammar | Khan Academy

Hello grammarians! Today we are going to talk skillfully and patiently about adverbs and what it is that adverbs do. In order to do that, I think it might be useful to talk about what adjectives do first. So, adjectives can modify stuff. I should have be…

Later stages of the Civil War part 1

All right, so we’ve been talking about the later stages of the American Civil War. In the last videos, we talked about the Battle of Gettysburg and the Gettysburg Address, which happened in November of 1863, as Abraham Lincoln went to the site of the Batt…

Fishing Tips: How to Handline | Wicked Tuna: Outer Banks

[Applause] [Music] [Applause] Hand lining is what we used to do years ago, 30 years ago, before Tyler was born, before all these guys were even on a boat fishing. We used to do handlines; now they do rod and rails. They just crank. It’s very important wh…

Two Days to Delivery | Big Fish Texas

Yeah baby, let the games begin! We have 15,000 pounds of fish to catch. That’s a lot of fish to pull over rail! I don’t care who you are. I almost got every hook. Might be little great here on me, but I got this. I’ve been doing this my whole life! Yeah,…

Writing exponential functions | High School Math | Khan Academy

More Articles