Question 128577
{{{drawing(500,500,-10,10,-10,10,
grid(1),
graph(500,500,-10,10,-10,10,0),
circle(0,0,4)
)}}}


Looking at the graph, notice how both the x-values and y-values are restricted. In other words, we cannot plug in x=10 (as it does not fall on the curve). So we can only plug in x-values from -4 to 4. So the domain is {{{-4<=x<=4}}}



which in set-builder notation is


*[Tex \LARGE \textrm{\left{x|x\in\mathbb{R}: -4\le x\le4\right}}]



In plain English, this reads: x is the set of all real numbers that are in between -4 and 4





Also, in interval notation, the domain is:


[-4,4]




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This also applies to the range. The range is also {{{-4<=y<=4}}}.




Which in set-builder notation is


*[Tex \LARGE \textrm{\left{y|y\in\mathbb{R}: -4\le y\le4\right}}]



In plain English, this reads: y is the set of all real numbers that are in between -4 and 4





Also, in interval notation, the range is:


[-4,4] 





--------------------------


Summary:


So the domain and range are both [-4,4]