Mathematics

Problem

Consider the function

f(x)=\begin{cases} x^{2}+1, & x\le 1,\\ |x-1|+2, & x>1. \end{cases}

At which value(s) of

x

does

f

attain a local minimum? a) At

x=0

and

x=1

b) Only at

x=0

c) Only at

x=1

d) The function has no local minimum