Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
∣
x
−
1
∣
+
∣
x
−
2
∣
+
∣
x
−
3
∣
+
∣
x
−
4
∣
f(x) = |x-1| + |x-2| + |x-3| + |x-4|
f
(
x
)
=
∣
x
−
1∣
+
∣
x
−
2∣
+
∣
x
−
3∣
+
∣
x
−
4∣
, then a. least value of
f
(
x
)
f(x)
f
(
x
)
is 4 b. least value is not attained at unique point c. the number of integral solution of
f
(
x
)
=
4
f(x) = 4
f
(
x
)
=
4
is 2 d. the value of
f
(
π
−
1
)
+
f
(
e
)
2
f
(
12
5
)
\frac{f(\pi-1) + f(e)}{2f\left(\frac{12}{5}\right)}
2
f
(
5
12
)
f
(
π
−
1
)
+
f
(
e
)
is 1
Browse the problem library