Question

Can someone answer this

Answer 1

`(4)/(3)`

Explanation:

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

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

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

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) =
`(1)/(3)` ← value of y when x = - 1

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