The net change is the difference in the function values over a given interval.
The net change of g over [tex]x_1 = -1[/tex] and [tex]x_2 = 2[/tex] is 1
Given that:
[tex]x_1 = -1[/tex]
[tex]x_2 = 2[/tex]
The net change is calculated as:
[tex]\Delta g= g(x_2) - g(x_1)[/tex]
From the given graph
[tex]g(x_2) =g(2) = 1[/tex]
[tex]g(x_1) =g(-1) = 0[/tex]
So, we have:
[tex]\Delta g= g(x_2) - g(x_1)[/tex]
[tex]\Delta g= g(2) - g(-1)[/tex]
So, we have:
[tex]\Delta g= 1 - 0[/tex]
[tex]\Delta g= 1[/tex]
Hence, the net change is 2
Read more about net change of a function at:
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