The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6 . Let

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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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The differentiable function 

f

 is such that for all 

x

 with 

3 ≤ x≤ 7

, we have 

4 ≤ f'(x) ≤ 6

. Let 

S

 be the length of the curve 

y=f(x), 3 ≤ x≤ 7

. From the given information, find the best possible upper and lower bounds for 

S

:

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