Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The average rate of change for f(x) and g(x) are respectively 2.25 and -2 and so we can say that f(x) is moving more quickly.
How to find the average rate of Change?
Formula for the average rate of change is;
f'(x) = (f(b) - f(a))/(b - a)
Thus;
1) Average rate of change of f(x) over the interval from x = 2 to x = 6 is;
f'(x) = (f(6) - f(2))/(6 - 2)
We are given;
f(6) = 10 and f(2) = 1
Thus; f'(x) = (10 - 1)/4 = 2.25
2) Average rate of change of g(x) over the interval from x = 0 to x = 4 is;
g'(x) = (g(4) - g(0))/(4 - 0)
We are given;
g(4) = 0 and g(0) = 8
Thus; g'(x) = (0 - 8)/4 = -2
3) From the average rate of change of both functions, we see that f(x) is positive and has a higher rate of change and so we can say that f(x) is moving more quickly.
Read more about Average rate of change at; https://brainly.com/question/8728504
#SPJ1
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.