The equation \( F(x) = -24 \) represents a constant function. This means that for any value of \( x \), the function \( F(x) \) will always return \(-24\).

Key points to note:
1. The graph of \( F(x) = -24 \) will be a horizontal line on the Cartesian plane, intersecting the y-axis at \( y = -24 \).
2. This function has no slope because the change in \( y \) is always 0 regardless of changes in \( x \).
3. The domain of \( F(x) \) is all real numbers \( (-\infty, \infty) \), since there is no restriction on the values of \( x \).
4. The range of the function is limited to just one value: \( \{-24\} \).

Would you like further details or have any questions?

Here are 5 questions that expand on this:
1. What would the graph of \( F(x) = -24 \) look like compared to \( F(x) = -10 \)?
2. How does the concept of slope apply to a constant function?
3. What are the domain and range of a constant function?
4. How do constant functions differ from linear functions like \( F(x) = 2x - 5 \)?
5. How can you use this function in real-world scenarios?

**Tip**: A constant function has a derivative of zero, meaning no matter the input, the rate of change is always 0.

Explore the properties of the constant function F(x) = -24, where the output remains constant at -24 for all values of x. This concept is essential in understanding horizontal lines on a graph, domain and range, and the lack of slope in constant functions. Suitable for middle school students in Grades 6-8.

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