Question

(e) Find the net change in h between

x = −3 and x = 3.

Answer 1

1

Explanation:

The net change is:

Δh = h(3) − h(-3)

Δh = 5 − 4

Δh = 1

Answer 2

1

Explanation:

The net change in a function over a specified interval is the difference between its final and initial values, representing the overall shift or variation in the function across that interval.

To find the net change in h between x = -3 and x = 3, begin by finding the values of h(x) at those points on the graph:

`h(-3) = 4`

`h(3) = 5`

Calculate the net change by subtracting the initial value h(-3) from the final value h(3).

`\begin{aligned}\textsf{Net change}&=h(3) - h(-3)\\&=5-4\\&=1\end{aligned}`

Therefore, the net change of h between x = -3 and x = 3 is 1.

This means that the function h(x) increases by 1 unit between x = -3 and x = 3.