$$ \text{(x}^2-4\text{ }x\text{ find the domain} $$

Let's consider the given expression: 

\[
f(x) = x^2 - 4x
\]

To find the domain of this function, we need to determine for which values of $x$ the function is defined. Since this is a polynomial (a quadratic expression), the domain of any polynomial function is all real numbers because polynomials are defined for all real values of $x$.

### Domain:
The domain of $f(x) = x^2 - 4x$ is:
\[
\text{Domain} = (-\infty, \infty)
\]
This means that the function is defined for all real numbers.

Would you like more details or have any questions about this?

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Here are 5 related questions to expand your understanding:
1. How would the domain change if the function included a square root?
2. Can you graph the function $f(x) = x^2 - 4x$?
3. What are the x-intercepts (if any) of the function $f(x) = x^2 - 4x$?
4. How do you find the vertex of the parabola represented by $f(x) = x^2 - 4x$?
5. What is the range of the function $f(x) = x^2 - 4x$?

**Tip:** For polynomial functions, unless specified otherwise, their domain is typically all real numbers.

Learn how to find the domain of the quadratic function x^2 - 4x. This function is analyzed using polynomial domain rules, demonstrating that its domain spans all real numbers. Suitable for students in Grades 7-9.

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