Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 X3 4 From X 4 To X 1 class=

Sagot :

Solution:

The average rate of change is calculated using;

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

Then;

[tex]\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}[/tex]

Thus, the average rate of change is;

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

ANSWER: 39

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.