A Level

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x) = |x-1| + |x-2| + |x-3| + |x-4|

, then (1) least value of

f(x)

is 4 (2) least value is not attained at unique point (3) the number of integral solution of

f(x) = 4

is 2 (4) the value of

\frac{f(\pi-1) + f(e)}{2f\left(\frac{12}{5}\right)}

is 1