Question

The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true? g (7) minus g (4) = five-sixths StartFraction g (7 minus 4) Over 7 minus 4 EndFraction = five-sixths StartFraction g (7) minus g (4) Over 7 minus 4 EndFraction = five-sixths StartFraction g (7) Over g (4) EndFraction = five-sixths

Answer 1

5/6 = [ g(7) − g(4) ] / (7 − 4)

Explanation:

Average rate of change of a function f(x) between x=a and x=b is:

m = [ f(b) − f(a) ] / (b − a)

In this case:

5/6 = [ g(7) − g(4) ] / (7 − 4)