To find the domain of the function \( f(x) = 5^2 - 17x + 1 \), let's analyze the expression:

The function is:
\[ f(x) = 25 - 17x + 1 \]

This is a linear function (polynomial of degree 1), and linear functions are defined for all real numbers.

Thus, the domain of \( f(x) \) is:
\[ \text{Domain} = (-\infty, \infty) \]

### Do you want details or have any questions?

Here are five related questions:
1. What is the range of \( f(x) = 25 - 17x + 1 \)?
2. How do you find the zeros of \( f(x) \)?
3. What is the slope of the linear function \( f(x) = -17x + 26 \)?
4. Can you determine the x-intercept of the function?
5. How does the graph of the function look?

**Tip:** Linear functions always have domains that include all real numbers, no matter the coefficients involved.

Discover how to determine the domain of the function f(x) = 25 - 17x + 1. This linear function analysis covers the domain concept, which is all real numbers, ensuring comprehensive understanding. Suitable for Grades 9-12.

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