Question

Find the rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4.

The rate of change is
.

Answer 1

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.