The average rate of change of any function on an interval [a, b] is the slope of the line between those two points. It describes the average rate at which the function y-values are changing on the interval.
To find the slope of a line, you need the change in y-values over the change in x-values. This gives the formula for average rate of change:
f(b) - f(a) where f(b) - f(a) is the change in y-values and b - a is the change in x-values.
b - a
You need to find f(4) - f(0) and divide that by 4 - 0 to find the average rate of change of f(x) on that interval.
Hope this helps!
