Find the Range of the Function
Question:
The range of the function
\[ f(x)=|x-1| \]
is
(a) \((-\infty,0)\)
(b) \([0,\infty)\)
(c) \((0,\infty)\)
(d) \(R\)
Solution:
Since modulus is always non-negative,
\[ |x-1|\ge0 \]
Minimum value occurs at
\[ x=1 \]
\[ |1-1|=0 \]
There is no maximum value.
Therefore, range is
\[ \boxed{[0,\infty)} \]
\[ \boxed{\text{Correct Answer: (b)}} \]