Question:
If R={(x,|x|): x is a real number} is a relation on R , then find the domain and range of R
Answer:
Given R={(x,|x|): x is a real number}
Let f(x) = |x|
=> f(x) = x, when x>=0
and f(x) = -x, when x<0
The domain of this modulus function is the set of all real numbers.
The range is the set of all non-negative real numbers.
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