Question
The average rate of change of f (x) =x^2 - x + 4 from x=2 to x=4 is
Answers
GPT 3.5
To find the average rate of change of a function from x=2 to x=4, we need to find the change in f(x) divided by the change in x.
Given that f(x) = x^2 - x + 4, we can calculate f(2) and f(4) as follows:
f(2) = 2^2 - 2 + 4 = 4 - 2 + 4 = 6
f(4) = 4^2 - 4 + 4 = 16 - 4 + 4 = 16
Now, we can calculate the change in f(x) and the change in x:
Change in f(x) = f(4) - f(2) = 16 - 6 = 10
Change in x = 4 - 2 = 2
Finally, we can find the average rate of change:
Average rate of change = Change in f(x) / Change in x = 10 / 2 = 5
Therefore, the average rate of change of f(x) = x^2 - x + 4 from x=2 to x=4 is 5.
Given that f(x) = x^2 - x + 4, we can calculate f(2) and f(4) as follows:
f(2) = 2^2 - 2 + 4 = 4 - 2 + 4 = 6
f(4) = 4^2 - 4 + 4 = 16 - 4 + 4 = 16
Now, we can calculate the change in f(x) and the change in x:
Change in f(x) = f(4) - f(2) = 16 - 6 = 10
Change in x = 4 - 2 = 2
Finally, we can find the average rate of change:
Average rate of change = Change in f(x) / Change in x = 10 / 2 = 5
Therefore, the average rate of change of f(x) = x^2 - x + 4 from x=2 to x=4 is 5.