Question

Average rate of change [9,49] [25,81] with chart

Answer 1

Over [9, 49], the average rate of change of g(x) is

`(g(49) - g(9))/(49 - 9) = (14 - 6)/(49 - 9) = \frac8{40} = \boxed{\frac15}`

Over [25, 81], it would be

`(g(81) - g(25))/(81 - 25) = (18 - 10)/(81 - 25) = \frac8{56} = \boxed{\frac17}`