how does h(x) change over the interval from x = 1 to x = 4?

Answer:

The function (h(x)) increases over the interval from (x = 1) to (x=4).

Explanation:

Step1: Identify function values at endpoints

When (x = 1), from the graph, (h(1)\approx2). When (x = 4), (h(4)\approx8).

Step2: Compare function - values

Since (h(1)\approx2) and (h(4)\approx8), and (2<8), as (x) increases from (1) to (4), the value of (h(x)) increases.