Question

Did I do this right? Calculating Average rate of Change of a function over an interval??

Answer 1

\[f(x)=\sqrt{x}+x\]

Answer 2

over the interval [1,4]

Answer 3

I got 2 ??

Answer 4

not quite

f(4)-f(1) = ?

Answer 5

4

Answer 6

good, now divide that by (4-1)

Answer 7

4/3

Answer 8

yup, there's your answer

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

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