F(x)= x+10, X ER find
domain and range
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value of x value of [x] f(x)=−∣x∣ whether real number 2 |2 |=2 -2 yes 1 |1|=0 -1 yes 0 |0|=0 0 yes -1 |-1|=1 -1 yes -2 |-2|=2 -2 yesHere we are given a real functionHence, both domain and range should be real numbersFrom the above tableX can be any real number and f(X) will always be negative or zero All these are real values.Here, value of domain $(Xx$$ can be negative numberHence, Domain =R (all real number)we note that the range f(x) is 0 or negative numbers So, range cannot be positive Hence, Range =Non positive real number.
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X cannot be (-10) i.e domain of f(x) is x€{R(-10)}
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