A) \[[-3,\,\,11]\]
B) \[(-\infty ,\,\,20]\]
C) \[(-\infty ,\,\,11]\]
D) \[[-6,\,\,20]\]
Correct Answer: B
Solution :
[b] |
Apply LMVT in \[[-7,\,\,-1]\] |
\[\frac{f(-1)-f(-7)}{6}\le 2\] |
\[\Rightarrow f(-1)+3\le 12\] |
\[f(-1)\le 9\] |
Now apply LMVT in \[[-7,0]\] |
\[\frac{f(0)-f(7)}{7}\le 2\] |
\[f(0)\le 11\] |
Hence \[f(-1)+f(0)\le 20\] |
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