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.

Who Is God? | Street Spirituality
Bill Gates Wasn't Worried About Burnout In 1984 – Here's Why

More Articles

View All
The Only Dog Still Alive From The 90s
A lot of us remember the 99s, but only one dog does. Spike is the oldest known dog still alive today, who was born in the 1990s. But not everyone believes him. Last year, Guinness World Records recognized his significance, but then just a few months ago, …
How queer identity shapes Nat Geo Explorers | Podcast | Overheard at National Geographic
Foreign Hi, I’m Dominique Hildebrand. I’m a photo editor here at National Geographic, and I’m a co-lead of our LGBTQ Employee Resource Group. To celebrate Pride, we’re doing something special, and overheard we’re handing the mic over to two National Geogr…
Making an Exoskeleton | Breakthrough
It all went down at a place called The Guardian Center, a huge installation where they trained First Responders for earthquakes, terrorist situations. They even have their own subway tunnel with an exploded train. It’s the perfect place to see the Foris e…
Cultural Syncretism in Central Asia | World History | Khan Academy
Hello historians, and welcome to South Central Asia circa 280 BCE. We’re looking at two empires that occupy some of the same area, and we’ve got the Mauryan Empire here. You can see this is the expansion that took place under Ashoka around 250 BCE. So the…
Missing Dial Trailer | National Geographic
You don’t know heartbreak until you’re running through the jungle, yelling for your son’s name. “Roben! Oh, that’s my son, chip off the old block!” He emailed us right before he headed into the jungle. “It should be difficult to get lost forever.” What t…
Density Curves | Modeling data distributions | AP Statistics | Khan Academy
What we’re going to do in this video is think about how to visualize distributions of data, then to analyze those visualizations, and we will eventually get to something known as a density curve. But let’s start with a simple example just to review some c…