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4
2015-2016 Spring OMO #4
2015-2016 Spring OMO #4
Source:
March 29, 2016
Online Math Open
Problem Statement
Given that
x
x
x
is a real number, find the minimum value of
f
(
x
)
=
∣
x
+
1
∣
+
3
∣
x
+
3
∣
+
6
∣
x
+
6
∣
+
10
∣
x
+
10
∣
.
f(x)=|x+1|+3|x+3|+6|x+6|+10|x+10|.
f
(
x
)
=
∣
x
+
1∣
+
3∣
x
+
3∣
+
6∣
x
+
6∣
+
10∣
x
+
10∣.
Proposed by Yannick Yao
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