(Section 1.2: Graphs of Functions) 1.2.3 PART C: GRAPHING A SQUARE ROOT FUNCTIONLet fx()=x. We will sketch the graph offin the xy-plane. This is the graph of the equation y=, or y=x. TIP 1:As usual, we associate y-coordinateswith function values. When point-plotting, observe that: Domf=0,±²³). • For instance, if we choose x=9, we find that f9=9=3, which means that the point 9,f9, or 9, 3, lies on the graph. • On the other hand, f±9is undefined, because 9±Domf. Therefore, there is nocorresponding point on the graph with x=±9. A (partial) table can help: xPoint 0 0 0, 01 1 1, 14 2 4, 29 3 9, 3Below, we sketch the graph off: WARNING 1:Clearly indicate any endpointson a graph, such as the origin here.
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