How do the average rates of change for the pair of functions compare over the given​ interval?

Question

F(x)=0.4x²

g(x)=0.8x²

3≤x≤8

Answer 1

The average rate of change for a function over a closed interval can be interpreted as the slope of the secant line passing through the endpoints on the interval.

For f(x) the endpoints are [3, .4(3)²] = (3, 3.6) AND [8, .4(8²)] = (8, 25.6).

The slope of the line through those points is: (25.6 - 3.6) / (8 - 3) = 22/5

Try g(x) yourself following the same pattern.

Take a look here to get an idea how you might determine a comparison between the average rate of change between these two functions:

desmos.com/calculator/cotq3pnlfy