Final answer:
The average rate of change of a function on a given interval is the slope of the line connecting the points on the graph at the boundaries of the interval. Without the graph or specific function values, it is impossible to calculate the average rate of change for the function f(x) from -4 to 6.
Step-by-step explanation:
To calculate the average rate of change of the function f(x) on the interval -4 ≤ x ≤ 6, you need the values of f(x) at the endpoints of the interval. The average rate of change of a function over an interval is calculated using the slope formula, which is (change in y) / (change in x). In the context of a graph, this is equivalent to taking the difference of the function's values at the two x-values and dividing by the difference in the x-values.
In mathematical terms, for a function f(x), the average rate of change on an interval [a, b] is given by:
Average Rate of Change = [f(b) - f(a)] / (b - a)
Since we do not have the specific graph or values of f(x) at x = -4 and x = 6, we cannot compute the actual average rate of change. To provide a specific answer, the graph of the function or the specific values of f(-4) and f(6) are required.