The graph shown in the image represents a function that starts at a point around $(-3, -3)$ and increases as it moves to the right. The curve suggests that as $x$ increases, $y$ also increases without bound. Therefore, the graph appears to extend towards positive infinity in the $y$-direction.

To find the range:

• The lowest point on the graph appears to be at $y = -3$.
• The graph increases indefinitely, so the function has no upper bound.

Thus, the range of the function is $[-3, \infty)$.

The correct answer is:

Option A: $[-3, \infty)$

Would you like more details or have any further questions? Here are some related questions for practice:

1. What is the domain of the given function?
2. How would the range change if the graph were reflected over the x-axis?
3. How can you determine the range of a function just by looking at its equation?
4. If the lowest point of the graph were moved to $-5$, how would the range change?
5. What are the key differences between the domain and the range of a function?

Tip: Always look at the lowest and highest points on the graph when identifying the range of a function.