https://file.aiquickdraw.com/mathbot/file/17266246163554onu27fl.jpg

The function given in the image is:

\[
y = x^2 + 8
\]

This is a quadratic function. Quadratic functions are defined for all real values of \(x\) because you can square any real number and add 8 to it without any restrictions. Therefore, the domain of this function is:

\[
\text{Domain: } (-\infty, \infty)
\]

Would you like more details on how domain is determined or any other clarification?

Here are 5 related questions to explore:
1. What is the range of the function \( y = x^2 + 8 \)?
2. How do you find the domain of a rational function?
3. What are the key differences between the domain and range of a function?
4. How does the domain of a square root function differ from a quadratic function?
5. Can the domain of a function ever be a finite set of numbers?

**Tip:** The domain of a polynomial function (like quadratics) is always all real numbers unless there is a square root or division involved.

Find the domain of the function expressed by the formula y = x^2 + 8.

Learn how to find the domain of the quadratic function y = x^2 + 8. Quadratic functions are defined for all real values of x. This problem is suitable for students in Grades 7-9.

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