Describe the behavior of the function by determining which intervals the function has a positive average rate of change.

To determine the intervals where a function has a positive average rate of change, you need to analyze the function's values at different points. The average rate of change of a function \( f(x) \) over an interval \([a, b]\) is given by the formula:

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

For the average rate of change to be positive, \( f(b) - f(a) > 0 \) must hold, which means that \( f(b) > f(a) \).

If you have a specific function or graph in mind, you would check the function values at the endpoints of various intervals to find the intervals where the function is increasing (where the average rate of change is positive).

For example, say we assess a function over the intervals \([x_1, x_2]\) and \([x_3, x_4]\) and find that the function increases in those intervals. You would then state:

"The average rate of change is positive over the interval \([x_1, x_2]\) and over the interval \([x_3, x_4]\)."

If you provide the specific function or context, I could assist you in identifying the intervals more accurately.