# Characteristics of Exponential Functions

we call functions like this "exponential" because *x* is in the exponent

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/Slide2.PNG)

## 1% or 10% or 100% interest… does it change the picture?

When you put your money in the bank… of course it matters.

In the big scheme of things there is no difference as long as we take a number greater than one and keep multiplying it with itself repeatedly we see a similar curve:

![](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/expmultiplecompared.png)

## Slow exponential growth is sub-linear

![in other words: the straight green line (linear) is above the blue (exponential) curve](https://s3.amazonaws.com/img.courses.warmersun.com/progressandpredictions/sublinearexp.png)


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://101.warmersun.com/introduction/characteristics-of-exponential-functions.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.