At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
a. The average rate of change of the function f(x)= [tex]120(0.1)^x[/tex] from x = 0 to x = 2 is
b. The average rate of change of the function f(x)= [tex]4(2)^x[/tex] from x = 0 to x = 2 is
c. The average rate of change of the function f(x)= [tex]480(0.3)^x[/tex] from x = 1 to x = 5 is
The average rate of change of the function is given by-
[tex]\frac{f(1)-f(0)}{1-0}[/tex]
Now, apply the same to all the given functions to find the average rate of change of the functions as follows.
a. The given function is f(x) = [tex]120(0.1)^x[/tex]
We have to find the average rate of change of this function from x = 0 to x = 2
The average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= (120 [tex](0.1)^2[/tex] - 120) / 2
= 60 (0.01 - 1)
= 60 x - 0.99 = - 59.4
Thus, the average rate of change = - 59.4
b. The given function is f(x) = [tex]4(2)^x[/tex]
We have to find the average rate of change of this function from x = 0 to x = 2
The average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= ([tex]4(2)^2[/tex] - 4) / 2
= 2(4 - 1) = 2 x 3 = 6
Thus, the average rate of change = 6
c. The given function is f(x) = [tex]480(0.3)^x[/tex]
We have to find the average rate of change of this function from x = 1 to x = 5
The average rate of change = [tex]\frac{f(5)-f(1)}{5-1}[/tex]
= ([tex]480(0.3)^5 - 480(0.3)^1[/tex] ) / 4
= 480 (0.00243 - 0.3) /4
= 120 x -0.29757
Thus, the average rate of change = -35.7084
Read more about the Rate of change of function:
brainly.com/question/24313700
#SPJ4
The complete question is -
a. what is the average rate of change of the function f(x)= [tex]120(0.1)^x[/tex] from x = 0 to x = 2?
b. what is the average rate of change of the function f(x)= [tex]4(2)^x[/tex] from x = 0 to x = 2?
c. what is the average rate of change of the function f(x)= [tex]480(0.3)^x[/tex] from x = 1 to x = 5?
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.
