https://file.aiquickdraw.com/mathbot/file/1727339499031nss2a916.jpeg

The image shows the following mathematical statement in Arabic:

**إذا كانت الدالة \( y = 3^x \) فإن مداها هو \( \{y | y \geq 3\} \)**

Translation: 
"If the function is \( y = 3^x \), then its range is \( \{y | y \geq 3\} \)."

### Explanation:
The given function is \( y = 3^x \), which is an exponential function. However, the range provided here, \( \{y | y \geq 3\} \), is incorrect for the actual exponential function \( y = 3^x \). 

The correct range of the function \( y = 3^x \) is:
\[
y > 0
\]
This is because \( 3^x \) is always positive for all real values of \( x \). Therefore, the range should be \( \{y | y > 0\} \), not \( \{y | y \geq 3\} \). The value 3 mentioned in the image might refer to a specific case or condition, but the general range is \( y > 0 \).

Would you like further details or clarification on exponential functions? 

Here are five questions you might explore:
1. What is the general behavior of exponential functions?
2. How do exponential growth and decay differ?
3. What is the domain of the function \( y = 3^x \)?
4. How does changing the base of the exponential function affect its range?
5. How can exponential functions be used in real-world applications?

**Tip**: The base of an exponential function \( a^x \) affects the rate of growth; larger bases result in faster increases.

إذا كانت الدالة y = 3^x فإن مداها هو {y | y ≥ 3}

Learn about the range of the exponential function y = 3^x. This detailed explanation covers key concepts, including the correct range of exponential functions and their behavior. Suitable for students in Grades 9-12.

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