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Part 1
Select Function 4 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below.
Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed.
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Part 1
Part​ 1: What is the domain of the​ function?

enter your response here ​(Type your answer in interval​ notation.)

To determine the domain of a function, you must identify all possible values of \( x \) (the input) that the function can accept. Typically, this involves looking at any restrictions such as divisions by zero or square roots of negative numbers that would make certain \( x \)-values invalid.

### Here’s how you typically approach finding the domain:
1. **Polynomials**: Domain is all real numbers \( (-\infty, \infty) \).
2. **Rational functions**: Exclude values that make the denominator zero.
3. **Square roots**: Ensure that the expression under the square root is non-negative.

If you can describe the type of function involved (Function 4 in this case), I can help further in finding the domain using these principles.

Would you like to describe Function 4 or upload a screenshot of the function? 

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**5 related questions:**
1. What are the key differences between domain and range?
2. How do you find the domain for a rational function?
3. What are common causes for domain restrictions?
4. How do square root functions affect domain values?
5. Can a domain include infinity?

**Tip:** Always check for division by zero when identifying domain for rational functions.

Select Function 4 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below. What is the domain of the function? (Type your answer in interval notation.)

Learn how to identify the domain and range of a function using interactive sliders. This problem focuses on understanding the set of all possible x-values (domain) and y-values (range) for a given function. Suitable for high school students in Grades 9-12.

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