A function is given. Determine the average rate of change of the function betwee

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

A function is given. Determine the average rate of change of the function between the given values of the variable.

f(x) = 4x2;    x = 2, x = 2 + h

Jun 28th, 2015

Thank you for the opportunity to help you with your question!

--------------------------------------------------------------------------------------

$f(x)=4x^2\\$

$f(2)=4\times2^2=4\times4=16\\$

$\\ f(2+h)=4(2+h)^2\\ \\ f(2+h)=4(2^2+2\times2\times h+h^2)\\ \\ f(2+h)=4(4+4h+h^2)\\ \\ f(2+h)=16+16h+4h^2\\$

Average rate of change

$\\ =\frac{f(2+h)-f(2)}{2+h-2}\\ \\ =\frac{16+16h+4h^2-16}{h}\\ \\ =\frac{16h+4h^2}{h}\\ \\ =\frac{h(16+4h)}{h}\\ \\ =4h+16$

ANSWER:  4h + 16

--------------------------------------------------------------------------------------

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 28th, 2015

...
Jun 28th, 2015
...
Jun 28th, 2015
Sep 25th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer