can someone teach me how to find the domain of the following equation:

f(x)=abs(x)+abs(x+2)

Question

can someone teach me how to find the domain of the following equation:

f(x)=abs(x)+abs(x+2)

anonymous · Answer

domain is all real numbers since you can put any numbers in the x and the function is still meaningful

campbell_st · Answer

x is always positive in an absolute value problem 

so the domain is all real x  there range is restricted to y >= 2

anonymous · Answer

^^ x is not always positive.it's just the absolute that is always positive hehe

anonymous · Answer

I was wondering if there is an analytical way to get to the answer. I got dividing the function into a piecewise funcion, but I got stucked.

anonymous · Answer

no there is another way to do but analyze each absolute value

campbell_st · Answer

the best method for starting to understand domain is to graph the curve.... download a free program called Geogebra... excellent for graphing and geometry

anonymous · Answer

I use Mathematica. It is really good. Its ok, Well it is a new challenge for me today. I will try to figure out by descomponing the absolute values and see what I get. Thanks guys