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Montano1993 [528]
4 years ago
12

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = x3 + x − 9, [0, 2]

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
5 0
\frac{f(2)-f(1)}{2-1}= \frac{2^3+2-9-(1^3+1-9)}{1}=8+2-9-1-1+9=8
 \\ 
derivative of f(x)  =3x^2+1,3x^2+1=8,3x^2=7,x= \sqrt \frac{7}{3}
which supports the mean value theorem, you want even better news
if the function is a polynomial it will always follow the mean value theorem
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