Question

Find the Average Rate of Change of the graph over the interval -4 < x < 5

Answer 1

AROC = -
`(2)/(3)`

Explanation:

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

`(g(b)-g(a))/(b-a)`

here [ a, b ] = [ - 4, 5 ] , then

g(b) = g(5) = - 1 ← point (5, 1 ) on graph

g(a) = g(- 4) = 5 ← point (- 4, 5 ) on graph

average rate of change =
`(-1-5)/(5-(-4))` =
`(-6)/(5+4)` =
`(-6)/(9)` = -
`(2)/(3)`