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The question is asking about the range of the function shown in the graph. The graph appears to be of an exponential function with a horizontal asymptote at \( y = -3 \). 

### Analyzing the Graph:
- The curve approaches \( y = -3 \) as \( x \) becomes more negative, but it never actually reaches \( y = -3 \).
- As \( x \) increases, the value of \( y \) increases without bound, indicating that the function can take on any value greater than \(-3\).

### Range:
- The function's range consists of all real numbers greater than \(-3\), but not including \(-3\). 

Therefore, the correct answer is **C. \(-3 < y < \infty\)**.

Would you like further details or have any other questions?

Here are five related questions you might consider:
1. What is the domain of an exponential function?
2. How do you determine the horizontal asymptote of an exponential function?
3. What is the effect of shifting an exponential function vertically?
4. How would the range change if the exponential function was reflected over the x-axis?
5. What are some real-world examples where exponential functions are used?

**Tip:** When determining the range of a function from a graph, look for horizontal asymptotes and consider how the function behaves as \( x \) approaches extreme values.

Determine the range of the function shown in the graph.

Learn how to determine the range of an exponential function by analyzing a graph with a horizontal asymptote. This detailed guide walks through recognizing the asymptote and understanding the range, suitable for students in Grades 9-11.

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