7
Question
Find
the domain and the range of the real function f
defined by f
(x)
= |x
– 1|.
Find the domain and the range of the real function f defined by f (x) = |x – 1|.
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Solution
The
given real function is
f
(x)
= |x
– 1|.
It
is clear that |x
– 1| is defined for all real numbers.
∴Domain
of f
= R
Also,
for x
∈
R,
|x
– 1| assumes all real numbers.
Hence,
the range of f
is the set of all non-negative real numbers.
The given real function is f (x) = |x – 1|.
It is clear that |x – 1| is defined for all real numbers.
∴Domain of f = R
Also, for x ∈ R, |x – 1| assumes all real numbers.
Hence, the range of f is the set of all non-negative real numbers.
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