Fanduekisses
  • Fanduekisses
Did I do this right? Calculating Average rate of Change of a function over an interval??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Fanduekisses
  • Fanduekisses
\[f(x)=\sqrt{x}+x\]
Fanduekisses
  • Fanduekisses
over the interval [1,4]
Fanduekisses
  • Fanduekisses
I got 2 ??

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Vocaloid
  • Vocaloid
not quite f(4)-f(1) = ?
Fanduekisses
  • Fanduekisses
4
Vocaloid
  • Vocaloid
good, now divide that by (4-1)
Fanduekisses
  • Fanduekisses
4/3
Vocaloid
  • Vocaloid
yup, there's your answer
Fanduekisses
  • Fanduekisses
Ok, but I guess it's not perfect or exact lol because f(2)-f(1) does not equal exactly 4/3?
Vocaloid
  • Vocaloid
f(2)-f(1) doesn't give you the average rate of change
Vocaloid
  • Vocaloid
"average rate of change" essentially means to calculate the slope between x = 1 and x = 4
Vocaloid
  • Vocaloid
your function is not linear, so f(2)-f(1) does not equal f(4)-f(1)
Fanduekisses
  • Fanduekisses
Oh I see why I was thinking that lol, it's not linear LOL
Fanduekisses
  • Fanduekisses
Like if it were, y's will be increasing by 4/3. xD

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