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.

Enchanted Soudah: Traditions in the Clouds | Saudi Arabia | National Geographic

How Temu Used the Super Bowl to Take Over America

View All

Encountering a Blind Worm Snake | Primal Survivor: Escape the Amazon

[Music] I’m losing daylight. This is an expanse of grassland, and it has what I need for a shelter: all this grass that I’m gonna cut down. I’m gonna either turn it into my bed or use it for my roof. It’s the rainy season, which means you better count on …

Analyzing motion problems: total distance traveled | AP Calculus AB | Khan Academy

Alexi received the following problem: a particle moves in a straight line with velocity v of t is equal to negative t squared plus 8 meters per second, where t is time in seconds. At t is equal to 2, the particle’s distance from the starting point was 5 m…

Nietzsche - Follow No One, Trust Yourself

In Thus Spoke Zarathustra, in the chapter called The Bestowing Virtue, Friedrich Nietzsche wrote something surprising. Zarathustra—a sage who is also the central character of the book—tells his followers to stop following him. He says, “I now go alone, my…

Building a Bundle Boat | Live Free or Die

Feel like if I build a boat, it saved me a lot of walking. I saw a boorish pawn over here and I was thinking maybe getting a bunch of eats together, bundle them together, and make a boat. So what I want is big bundles. These, ‘cause you can see inside, i…

Lawless Longliners | Lawless Oceans

KARSTEN VON HOESSLIN: At this stage, I’d love to board a working Taiwanese longliner to see what they make of the murder videos. But they rarely come into Port Victoria, and they’re not exactly keen to talk. Instead, I’ve been invited onto a local longlin…

The World isn't Nearly as Terrible as We Think (or is it?)

As soon as we turn on the radio or television, or scroll through our social media feeds, a rush of tragic events scourges our minds. From pandemics to street violence, from clashes between countries to changes in climate: if we immerse ourselves in these …

Writing exponential functions | High School Math | Khan Academy

More Articles