Question

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Answer 1

The average rate of change of function y between [a, b] is computed as follows:

`(y(b)-y(a))/(b-a)`

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:

`(8-2)/(2-1)=6`