The average rate of change of a function $f(x)$ over an interval $[a, b]$ is the slope of the secant line connecting the two points $(a, f(a))$ and $(b, f(b))$ on the function's graph.

It measures the average change in the function's value per unit change in the input variable $x$.

The Formula:

$$ \text{Average Rate of Change} = \frac{\Delta y}{\Delta x} = \frac{f(b) - f(a)}{b - a} $$

How to Use:

• Enter a function of x (e.g., `x^2 + 3*x`, `sin(x)`).
• Provide the start point (a) and end point (b) of the interval.