Read the two statements and choose the correct option.

I. $f(x) = \lvert x - 1 \rvert + 2$ has minimum value 2.

II. $f(x) = \lvert x - 1 \rvert + 2$ has maximum value 3.

Explanation

1. 01

   $\lvert x - 1 \rvert \ge 0$, with 0 at $x = 1$, so the minimum value is 2: I is true.

2. 02

   $\lvert x - 1 \rvert$ grows without limit, so there is no maximum: II is false.