Question

Find the rate of change of the function h(x) = 4x - 3 on the interval O SX S1.

The rate of change is
_____

Answer 1

The rate of change of the function h(x) = 4x - 3 on the interval 0 ≤ x ≤ 1 is 4.

Step-by-step explanation:

The rate of change of a function is given by its derivative. In this case, the function is h(x) = 4x - 3. To find the rate of change on the interval 0 ≤ x ≤ 1, we need to find the derivative of the function and evaluate it at the endpoints of the interval.

First, let's find the derivative of h(x):

h'(x) = d/dx (4x - 3) = 4

Now, evaluate h'(x) at the endpoints of the interval:

h'(0) = 4

h'(1) = 4

Therefore, the rate of change of the function h(x) = 4x - 3 on the interval 0 ≤ x ≤ 1 is 4.