To find the rate of change of a function on the interval \([-1, 4]\), we typically use the formula for the **average rate of change** between two points:

\[
\text{Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]

Where:
- \( f(a) \) is the function value at \( a = -1 \),
- \( f(b) \) is the function value at \( b = 4 \),
- \( a \) and \( b \) are the endpoints of the interval \([-1, 4]\).

However, you would need to specify the function \( f(x) \) in order to compute the rate of change on that interval.

Would you like to provide the function \( f(x) \), or are you asking for a general explanation? Let me know!

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Here are 5 related questions:
1. How does the rate of change differ from the derivative?
2. Can the rate of change be negative? What does that imply?
3. What is the rate of change for a linear function on any interval?
4. How do you interpret the average rate of change geometrically?
5. How do you compute the rate of change for non-linear functions?

**Tip:** The rate of change gives an overall picture of how a function behaves between two points, but instantaneous change requires the derivative.

Learn how to find the rate of change for a function over the interval [-1, 4] using the average rate of change formula. Understand how to apply this method and see related mathematical concepts. Suitable for Grades 10-12 students studying calculus.

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