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# Describe the domain and range of r(x)=|x|+5 and v(x)=|x-3|

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Describe the domain and range of r(x)=|x|+5 and v(x)=|x-3|

Guest Mar 12, 2015

#1
+92368
+5

For the first one  x can be any real number.....so the domain is (-∞, ∞)

The range is just [5,∞ ) since this is the basic absolute value graph shifted up by 5 units

For the second one, the domain is the same as the frist

The range is [0,∞ )  ....it is the basic absolute value graph shifted to the right by 3 units

Here's a graph of both....https://www.desmos.com/calculator/t68up0q2ll

CPhill  Mar 12, 2015
#1
+92368
+5

For the first one  x can be any real number.....so the domain is (-∞, ∞)

The range is just [5,∞ ) since this is the basic absolute value graph shifted up by 5 units

For the second one, the domain is the same as the frist

The range is [0,∞ )  ....it is the basic absolute value graph shifted to the right by 3 units

Here's a graph of both....https://www.desmos.com/calculator/t68up0q2ll

CPhill  Mar 12, 2015