Question

Find the average rate of change of g(x) = 7/x over the interval [3,6]

Answer 1

Given:

The function is,

`g(x)=(7)/(x)\text{ over interval \lbrack{}3,6\rbrack}`

The average rate of change is calcuated as,

`\begin{gathered} (f(b)-f(a))/(b-a) \\ \lbrack a,b\rbrack=\lbrack3,6\rbrack \\ (f(6)-f(3))/(6-3)=((7)/(6)-(7)/(3))/(3)=((21-42)/(18))/(3)=(-21)/(18*3)=-(7)/(18) \end{gathered}`

Answer: avarage rate of change is -7/18.