The image contains the exponential function:

$y = 3^x$

This is an example of an exponential growth function, where the base is $3$ and the exponent is $x$. In exponential functions, the variable $x$ is in the exponent, and the base (in this case, 3) remains constant. As $x$ increases, the value of $y$ grows exponentially. Here's a breakdown of key points:

1. Base (3): The number that is repeatedly multiplied.
2. Exponent (x): The power to which the base is raised.
3. Growth: Since $3 > 1$, this function represents exponential growth.
4. Graph: The graph of $y = 3^x$ is upward-sloping, starting from a small value (when $x$ is negative) and rapidly increasing as $x$ becomes positive.

Would you like further details, perhaps a graph of this function or its properties?

Here are some related questions to consider:

1. What is the behavior of the function as $x \to \infty$ and $x \to -\infty$?
2. How does the graph of $y = 3^x$ compare to $y = 2^x$ or $y = 4^x$?
3. What is the derivative of $y = 3^x$ with respect to $x$?
4. How would this function change if the base were a fraction, like $y = \left(\frac{1}{2}\right)^x$?
5. What are the real-world applications of exponential functions like this?

Tip: When graphing exponential functions, keep in mind that they always have a horizontal asymptote, typically at $y = 0$, meaning the function approaches zero as $x \to -\infty$ but never actually reaches it.