## Fanduekisses one year ago Did I do this right? Calculating Average rate of Change of a function over an interval??

1. Fanduekisses

$f(x)=\sqrt{x}+x$

2. Fanduekisses

over the interval [1,4]

3. Fanduekisses

I got 2 ??

4. Vocaloid

not quite f(4)-f(1) = ?

5. Fanduekisses

4

6. Vocaloid

good, now divide that by (4-1)

7. Fanduekisses

4/3

8. Vocaloid

9. Fanduekisses

Ok, but I guess it's not perfect or exact lol because f(2)-f(1) does not equal exactly 4/3?

10. Vocaloid

f(2)-f(1) doesn't give you the average rate of change

11. Vocaloid

"average rate of change" essentially means to calculate the slope between x = 1 and x = 4

12. Vocaloid

your function is not linear, so f(2)-f(1) does not equal f(4)-f(1)

13. Fanduekisses

Oh I see why I was thinking that lol, it's not linear LOL

14. Fanduekisses

Like if it were, y's will be increasing by 4/3. xD