Sketch the graph of f: x->x+|x+2| where x€R
"f(x)=x+|x+2|=\\begin{cases}\nx+x+2,\\ \\ \\text{if} \\ x\\geq -2\n\\\\\nx-(x+2),\\ \\ \\text{if}\\ x<-2\n\\end{cases}\n=\\begin{cases}\n2x+2,\\quad \\text{if}\\ \\ x\\geq -2\n\\\\\n-2,\\qquad \\ \\ \\text{if}\\ \\ x<-2\n\\end{cases}"
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