Question

What is the average rate of change of the function on the interval from x = 0 to x = 5?

f(x) = 1/2 (3) ²
Enter your answer, as a decimal, in the box.

Answer 1

The average rate of change of the function on the interval from x = 0 to x = 5 is 0.9.

Step-by-step explanation:

The average rate of change of a function on an interval is determined by finding the slope of the secant line between the two endpoints of the interval. In this case, we are given the function f(x) = 1/2 (3)^2 and the interval from x = 0 to x = 5. To find the average rate of change, we need to calculate the difference in the function values at the endpoints and divide by the difference in x-coordinates:

Average rate of change = (f(5) - f(0)) / (5 - 0) = (1/2 (3)^2 - 1/2 (0)^2) / (5 - 0)

= (9/2 - 0) / 5

= 9/10

= 0.9

Therefore, the average rate of change of the function on the interval from x = 0 to x = 5 is 0.9.