Question

Can anyone help me with this?? And show me how to do it please. Algebra 1 Exponential Function rate of change

Answer 1

2

Explanation:

The average rate of change of f(x) in the closed interval [ a , b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ - 1, 3 ] , then

f(b) = f(3) = 3² + 1 = 9 + 1 = 10

f(- 1) = (- 1)² + 1 = 1 + 1 = 2

average rate of change =
`(10-2)/(3-(-1))` =
`(8)/(3+1)` =
`(8)/(4)` = 2