The image you provided includes the following functions:

1. $f(x) = 2^x$
2. $g(x) = 2^{-x}$
3. $h(x) = |2^x|$

Let's go over each function briefly:

1. $f(x) = 2^x$: This is an exponential function with base 2. The graph of this function grows rapidly as $x$ increases, showing exponential growth. For $x = 0$, $f(x) = 1$, and for $x < 0$, $f(x)$ approaches zero but never becomes negative.

2. $g(x) = 2^{-x}$: This can be rewritten as $g(x) = \frac{1}{2^x}$. This function also represents an exponential form but is a decreasing function (exponential decay) as $x$ increases. For $x = 0$, $g(x) = 1$, and as $x$ increases, $g(x)$ approaches zero.

3. $h(x) = |2^x|$: Since $2^x$ is always positive for real values of $x$, $h(x) = 2^x$ for all real $x$. Therefore, $h(x)$ is effectively the same as $f(x)$, given that $2^x \geq 0$.

Would you like further details on these functions, such as their graphs, transformations, or any specific properties?

Here are 5 related questions to deepen your understanding:

1. What are the asymptotes of each function?
2. How would the graph of $f(x) = 2^x$ change if the base was a different number, like 3?
3. What is the behavior of $g(x) = 2^{-x}$ as $x$ approaches negative infinity?
4. Can we generalize these functions for a base other than 2, like $f(x) = a^x$?
5. How would the behavior of $h(x)$ change if it were $h(x) = |2^{-x}|$?

Tip: For any function of the form $a^x$, where $a > 1$, the function grows exponentially as $x$ increases. If $0 < a < 1$, the function represents exponential decay.