Let . The real number at which attains its minimum value…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

f(x)=(x-1)^2+|x-1|+|x+2|

. The real number at which

f

attains its minimum value is (a)

x=2

(b)

x=1

(c)

x=0

(d)

x=-\dfrac{1}{2}