Question

graph , tell if function or not

{(x,y):y+|x|=0 and y>-3}

Answer 1

\[y+\left| x \right|=0 \rightarrow y=-\left| x \right|\]This is indeed a function. It is the graph of \[y=\left| x \right|\]reflected across the x-axis. Here is a graph: http://www.wolframalpha.com/input/?i=graph+y%3D-abs%28x%29+for+-3%3Cx%3C3

Answer 2

Additionally, this function will be greater than -3 when the input, x, is within the range -3<x<3.