105k views
1 vote
Find the average rate of change of g ( x ) = 3 x^3 − 4 from x = − 4 to x = 1 .

Find the average rate of change of g ( x ) = 3 x^3 − 4 from x = − 4 to x = 1 .-example-1

1 Answer

3 votes

Solution:

The average rate of change is calculated using;


\begin{gathered} (g(b)-g(a))/(b-a) \\ Where; \\ a=-4,b=1 \end{gathered}

Then;


\begin{gathered} g(x)=3x^3-4 \\ \\ g(-4)=3(-4)^3-4 \\ \\ g(-4)=3(-64)-4 \\ \\ g(-4)=-192-4 \\ \\ g(-4)=-196 \\ \\ g(1)=3(1)^3-4 \\ \\ g(1)=3(1)-4 \\ \\ g(1)=3-4 \\ \\ g(1)=-1 \end{gathered}

Thus, the average rate of change is;


\begin{gathered} =(-1-(-196))/(1-(-4)) \\ \\ =(195)/(5) \\ \\ =39 \end{gathered}

ANSWER: 39

User Alex Hawking
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories