Find the average rate of change of the function y = square root of x between x = 1 and x = 4.

Question

y = √x

Answer 1

The average rate of change of a function y = f(x) on an interval [a,b] is given by the formula (f(b) - f(a))/(b-a).

 

So, for the given function and interval, the average rate of change of the function on the interval is:

 

    (√4 - √1)/(4 - 1) = 1/3