Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the average rate of change of g(x) = 2x^3 - 5 from x= -4 to x= 2

Sagot :

reinhard10158

Step-by-step explanation:

the average change rate is the change of the functional values from the beginning to the end of the interval, and then that divided by the length of the interval.

like with every average or mean value calculation.

g(-4) = 2×(-4)³ - 5 = -128 - 5 = -133

g(2) = 2×2³ - 5 = 16 - 5 = 11

so, on an interval of x values of 2- -4 = 6 units the function changes its values by 11 - -133 = 144 units.

the average charge rate for this x interval is therefore

144 / 6 = 24 = 24/1

for 1 unit change of x, g(x) changes in the average by 24 units.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.