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Question Number 5236 by sanusihammed last updated on 02/May/16

find the range and domain of   (i)  y = ∣−x∣  (ii) y = ∣x−5∣

$${find}\:{the}\:{range}\:{and}\:{domain}\:{of}\: \\ $$$$\left({i}\right)\:\:{y}\:=\:\mid−{x}\mid \\ $$$$\left({ii}\right)\:{y}\:=\:\mid{x}−\mathrm{5}\mid \\ $$

Answered by FilupSmith last updated on 02/May/16

(i)  Domain = {x: −∞≤x≤∞}  Range = {y: 0≤y≤∞}    (ii)  Domain = {x: −∞≤x≤∞}  Range = {y: 0≤y≤∞}

$$\left({i}\right) \\ $$$${Domain}\:=\:\left\{{x}:\:−\infty\leqslant{x}\leqslant\infty\right\} \\ $$$${Range}\:=\:\left\{{y}:\:\mathrm{0}\leqslant{y}\leqslant\infty\right\} \\ $$$$ \\ $$$$\left({ii}\right) \\ $$$${Domain}\:=\:\left\{{x}:\:−\infty\leqslant{x}\leqslant\infty\right\} \\ $$$${Range}\:=\:\left\{{y}:\:\mathrm{0}\leqslant{y}\leqslant\infty\right\} \\ $$

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