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.

Comparing P-values to different significance levels | AP Statistics | Khan Academy

The Housing Market Is About To Go Wild | DO THIS NOW

View All

For parents: Setting a daily learning schedule for elementary school students

All right, hi everyone! Thank you so much for joining our parent webinar on how to create a schedule for your third through fifth-grade student, as well as how you can use Khan Academy resources and tools to support your child’s learning at home. So you c…

It Takes a Village | Port Protection

For today, our goal out here is to make a duck barn so that we could have fresh eggs for the winter time. The people of Port Protection may pride themselves on being self-sufficient. I was looking for the other piece of rebar, but you only needed the one …

Multiply monomials by polynomials: Area model | Algebra 1 | Khan Academy

We are told a rectangle has a height of five and a width of three x squared minus x plus two. Then we’re told to express the area of the entire rectangle, and the expression should be expanded. So pause this video and see if you can work through this. Al…

Elliot Choy asks Ray Dalio about his early goals

Was was that first step for you? Do you recall kind of some of your early goals? Was it simply to find some level of success, some level of security? Do you remember what those first steps were for you? Well, it was, um, it was more a passion, you know? …

Crypto Investors - Linda Xie and Avichal Garg

Let’s just start with quick intro. So, Linda, after you. Hi, I’m Linda. I’m co-founder of a crypto hedge fund called Scalar Capital. We focus on long-term investing in this space with a strong emphasis on privacy coins. Before that, I was a product mana…

LC natural response derivation 2

In the last video, we set up this differential equation that described an LC circuit, and now we’re going to go about solving this second-order circuit. The technique that works here is the same that worked with first-order ordinary differential equations…

Writing exponential functions | High School Math | Khan Academy

More Articles