Rate of change of function on the interval is; 6.
Explanation:
Given the function: on the interval
Rate of change of function: Let f be the function defined on the interval , then the rate of change of function A(x) is given by:
A(x) =
at x = 2;
h(2) =
and at x = 4
h(4) =
then, by the definition of rate of change of function:
A(x) =
Substitute the value of h(2) = 4 and h(4) = 16 we have;
Therefore, the rate of change of function is 6.