Which function below would have the smallest Average rate of change From X =0 to x=2

See answer below

Step-by-step explanation:

Hi there,

To get started, recall the average rate of change formula (essentially the same thing as slope):

So, just determine the average rate for each function between points [0,2]  (a and b for the formula above, respectively).

To make it less time consuming, you do not need to do the division portion as it is same for all of them and (2-0) is greater than 1:

Without even doing the divison of (b-a), we can already see that the function with smallest average rate of change between [0,2] is f(x).

thanks,