A) 0
B) 6
C) 7
D) 8
E) 10
Correct Answer: C
Solution :
\[f(x)=|3-x|=\left\{ \begin{matrix} 3-x+7 & 3-x\ge 0 \\ -(3-x)+7 & 3-x<0 \\ \end{matrix} \right.\] \[=\left\{ \begin{matrix} 10-x & 3\ge x \\ 4+x & 3<x \\ \end{matrix} \right.\] Clearly, ...\[f(1)>f(2)>f(3)<f(4)<f(5)....\] \[\Rightarrow \] \[...9>8>7<8<9<...\] \[\therefore \]Minimum value of\[f(x)=7\]
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