The graph in the image appears to be a typical exponential growth curve, which suggests a function similar to $y = e^x$ or $y = a^x$, where $a > 1$.

Domain:

The domain refers to the possible values of $x$ (the horizontal axis) for which the function is defined. Based on the graph, the curve extends indefinitely in both the negative and positive $x$-directions, meaning that all real numbers are included in the domain.

• Domain: $(-\infty, \infty)$

Range:

The range refers to the possible values of $y$ (the vertical axis). From the graph, we can see that the curve starts from just above zero and increases without bound as $x$ increases. The graph never touches or crosses the $x$-axis, indicating that the minimum value of $y$ is greater than zero.

• Range: $(0, \infty)$

Would you like more details on how to analyze this graph further, or do you have any questions about the process? Here are a few related questions for further study:

1. What is the significance of the asymptote in this graph?
2. How do exponential growth and decay differ in terms of their graph behavior?
3. How would the graph change if the base of the exponential function was less than 1?
4. What is the general form of an exponential function?
5. How can the slope of an exponential curve be interpreted?

Tip: Always look for horizontal asymptotes and intercepts when analyzing the domain and range of exponential functions!