The exponential function in the graph appears to approach zero from below as $x$ increases. This suggests that the range of the function is all values greater than zero. The horizontal asymptote confirms this behavior, as the graph approaches, but never reaches, the $y = 0$ line.

Therefore, the range of this function is:

$\{ y \mid y > 0 \}$

Let me know if you need any further details or have more questions!

Here are five related questions for further exploration:

1. What does the horizontal asymptote represent in an exponential function?
2. How can you determine if an exponential function has a positive or negative range?
3. How would you transform this graph vertically to shift it up or down?
4. What is the general form of an exponential function?
5. How does the base of an exponential function affect its graph?

Tip: Exponential functions have a horizontal asymptote that can help identify their range and behavior as $x$ approaches positive or negative infinity.