(A) The given real function is $f(x) = |x - 1|$.Since the absolute value function $|x - 1|$ is defined for all real numbers $x$,the domain of $f$ is t

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Domain: $R$,Range: $[0, \infty)$

(A) The given real function is $f(x) = |x - 1|$.Since the absolute value function $|x - 1|$ is defined for all real numbers $x$,the domain of $f$ is the set of all real numbers,$R$.For any real number $x$,the absolute value $|x - 1|$ is always greater than or equal to $0$.Thus,the range of $f$ is the set of all non-negative real numbers,which is $[0, \infty)$.

Class 12 Mathematics Relation and Function Domain and Range

Easy

Find the domain and the range of the real function $f$ defined by $f(x) = |x - 1|$.

A
Domain: $R$,Range: $[0, \infty)$
B
Domain: $(0, \infty)$,Range: $R$
C
Domain: $R$,Range: $(0, \infty)$
D
Domain: $[0, \infty)$,Range: $R$

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Find the domain and the range of the real function $f$ defined by $f(x) = |x - 1|$.

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