#1**+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**+5 **

Best Answer

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