https://file.aiquickdraw.com/mathbot/file/1726576744262qkda2i8f.jpg

From the graph you uploaded, I can determine that the function represented seems to be a logarithmic curve that starts at \( x = 3 \) and increases to the right, moving upward slowly.

### Domain:
- The curve begins at \( x = 3 \) and extends to the right indefinitely.
- Thus, the domain of the function is \( x \geq 3 \), or in interval notation: \([3, \infty)\).

### Range:
- The function increases without bound as \( x \) increases. The curve starts at a certain value (around 0 at \( x = 3 \)) and keeps increasing.
- Therefore, the range of the function is \( y \geq 0 \), or in interval notation: \([0, \infty)\).

Would you like more details or clarifications?

Here are some related questions:
1. What is the equation of a logarithmic function that fits the graph?
2. How do logarithmic functions behave in terms of growth compared to other types?
3. How can we determine if the function has any asymptotes?
4. What transformations might have been applied to a standard logarithmic graph to create this one?
5. How can we find the inverse of this function?

**Tip:** Logarithmic functions typically have vertical asymptotes, meaning they approach but never touch the vertical line at their starting point of the domain.

Learn how to find the domain and range of a logarithmic function by analyzing the graph. The function starts at x = 3 and increases to infinity. The domain is [3, ∞), and the range is [0, ∞). This problem is suitable for students in Grades 9-12.

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