The function \( f(x) = 5 \) is a constant function. This means that for every value of \( x \), the output of the function is always 5, regardless of the input. 

### Key points:
1. The graph of this function would be a horizontal line at \( y = 5 \) on the Cartesian plane.
2. The domain of the function is all real numbers \( (-\infty, \infty) \), as there are no restrictions on \( x \).
3. The range of the function is \( \{5\} \), since the output is always 5.
4. The derivative of this function is 0, meaning it has no slope and is flat everywhere.
5. There are no critical points or inflection points because the function does not change.

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Here are some related questions:
1. What is the derivative of a constant function?
2. How does the graph of \( f(x) = 5 \) look on the Cartesian plane?
3. What is the domain and range of the function \( f(x) = 5 \)?
4. Can the function \( f(x) = 5 \) have any intercepts besides the y-intercept?
5. How do constant functions behave under operations like addition and multiplication?

**Tip:** Constant functions always have a derivative of zero since they don't change with respect to \( x \).

Explore the properties of the constant function f(x) = 5. Learn how the graph forms a horizontal line, understand its domain and range, and see why its derivative is always zero. Ideal for students in Grades 9-10 studying algebra and calculus basics.

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