Question

all you need is in the photo please answer fast please helpppppp do not do step by step pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer 1

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

$\frac{y(b)-y(a)}{b-a}$

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:

$\frac{8-2}{2-1}=6$