The average rate of change of function y between [a, b] is computed as follows:
[tex]\frac{y(b)-y(a)}{b-a}[/tex]
In this case, a = 1, b = 2, and:
y = x² + 3x - 2
y(1) = 1² + 3(1) - 2
y(1) = 1 + 3 - 2
y(1) = 2
y(2) = 2² + 3(2) - 2
y(2) = 4 + 6 - 2
y(2) = 8
Then, the average rate of change is:
[tex]\frac{8-2}{2-1}=6[/tex]
