The function you provided is:

$g(n) = -11 \cdot 4^{n}$

This is an exponential function where the base is 4 and the coefficient is -11. Here's a breakdown of its key features:

• Base: The base of the exponential function is 4, meaning as $n$ increases, $4^n$ grows very quickly.
• Negative Coefficient: The factor of $-11$ means that the function will take negative values for all $n$, as opposed to a standard exponential function that would grow positively.
• Growth Behavior: As $n$ increases, $g(n)$ will decrease more rapidly (in the negative direction). Conversely, as $n$ decreases, the function will increase towards zero from negative values.

Would you like to explore this function further? For example, finding its value at specific $n$ values or its behavior for very large or small $n$?

Here are 5 related questions that could help you explore this function further:

1. What is the value of $g(n)$ when $n = 3$?
2. How does the graph of this function look? What is the shape?
3. What happens to $g(n)$ as $n$ approaches negative infinity?
4. How does the function behave for very large positive values of $n$?
5. Can this function represent real-world phenomena? What might it model?

Tip: Exponential functions like this one grow or decay rapidly depending on the base. Keep an eye on the base; if it's greater than 1, it will grow rapidly.