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.

YENİ KAPSÜL ÇADIRIMIZLA KARDA KAMP

1995 Berkshire Hathaway Annual Meeting (Full Version)

View All

Zeros of polynomials introduction | Polynomial graphs | Algebra 2 | Khan Academy

Let’s say that we have a polynomial ( p ) of ( x ) and we can factor it. We can put it in the form ( (x - 1)(x + 2)(x - 3)(x + 4) ). What we are concerned with are the zeros of this polynomial. You might say, “What is a zero of a polynomial?” Well, those …

Khan Stories: Mr. Brown

One summer I realized, you know what, I think Khan Academy actually has all of this for me. So I spent the summer looking at it and I had two algebra classes, and I used one for like completely Khan Academy. I want you guys to watch the videos, do all t…

This Monster Helped Save 4.5 Million Lives | How Science Fiction Inspired Science

When you think about a mad scientist, who do you think of? How about Dr. Jacqueline or Doc Brown? Maybe a few characters from comic books. Okay, maybe more than a few from comic books. Chances are, though, there’s one name that came to mind first: Franken…

Elad Gil Shares Advice from the High Growth Handbook, a Guide to Scaling Startups

The first question I wanted to ask you: the book is called High-Growth Handbook, not the High-Growth Hanjo, just High-Growth Handbook. Given that so few companies ever make it to high growth, you know, thousands of employees, why should an average entrepr…

Unexpected Dark Matter Discoveries From Super Distant Quasars

Hello INF person, this is Anton, and today I wanted to discuss one of the recent studies that was actually able to investigate some of the most distant quers, or these really massive black holes and galaxies around them, from some of the farthest regions …

In the Same Boat | Port Protection

Yeah, let’s put the bow right up against her. Port protection main state Timothy Curly leech and newest resident Amanda Ma are getting Curly’s vessel, the little Pelican, ready to go hbit fishing. “My boat is one of the most important things that I own. …

Writing exponential functions | High School Math | Khan Academy

More Articles