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.

Estimating with decimal multiplication

This Season On Valley of the Boom | National Geographic

View All

Partial derivative of a parametric surface, part 1

So we’ve just computed a vector-valued partial derivative of a vector-valued function, but the question is, what does this mean? What does this jumble of symbols actually mean in a, you know, more intuitive geometric setting? That has everything to do wi…

15 Steps To Completely Disappear from Society

There’s a difference between putting your life on airplane mode and leaving your entire life behind in search of a new one. Some people simply can’t settle for a cookie-cutter life; to them, it’s either freedom or nothing. What if you could simply quit yo…

Is rising inequality necessarily bad

The word inequality, by its very nature, at least sounds a little bit unfair. Obviously, everyone’s not getting the same thing; they’re not getting the same income, or they don’t have the same wealth. But a question needs to be asked: Is this necessarily …

Interpreting change in speed from velocity-time graph | Differential Calculus | Khan Academy

An object is moving along a line. The following graph gives the object’s velocity over time. For each point on the graph, is the object speeding up, slowing down, or neither? So pause this video and see if you can figure that out. All right, now let’s do…

HOW TO PROFIT CHURNING BANK ACCOUNTS IN 2019

What’s up guys? It’s Graham here. So really quick, I want you to ask yourself these three very important questions. Number one: Do you want to make an easy 500 bucks? Number two: Do you have some free time on your hands that you can kill? And number th…

Black Market Demand for 'Red Ivory' Is Dooming This Rare Bird | Short Film Showcase

In the pristine rainforests of Borneo, there’s a hidden battle between groups of poachers and wildlife photographers. They both share the same mission: finding the helmeted hornbill, an iconic bird pushed to the very brink of extinction due to poaching. […

Writing exponential functions | High School Math | Khan Academy

More Articles