Question

(2x-1) / (3x+5)

What is the average rate of change of the function over the interval x = 0 to x = 6? f(x) =(2x-1)/(3x+5)
A 0.21304347826086958
B 0.3130434782608696
C 0.4130434782608697
D 0.5130434782608698

Answer 1

B 0.3130434782608696. The average rate of change of the function over the interval x = 0 to x = 6 is 0.3130434782608696.

Step-by-step explanation:

To find the average rate of change of the function over the interval x = 0 to x = 6, we need to calculate the difference in y-values divided by the difference in x-values. In this case, the function is f(x) =(2x-1)/(3x+5). Therefore, the average rate of change is given by (f(6) - f(0))/(6-0).

Substituting the values into the function, we have f(6) = (2(6) - 1)/(3(6) + 5) = 11/23 and f(0) = (2(0) - 1)/(3(0) + 5) = -1/5.

So the average rate of change is (11/23 - (-1/5))/(6-0) = 0.3130434782608696.