Precalc0101to0102-page23

Precalc0101to0102-page23 - (Section 1.2: Graphs of...

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(Section 1.2: Graphs of Functions) 1.2.3 PART C: GRAPHING A SQUARE ROOT FUNCTION Let fx () = x . We will sketch the graph of f in the xy -plane. This is the graph of the equation y = , or y = x . TIP 1 : As usual, we associate y -coordinates with function values . When point-plotting , observe that: Dom f = 0, ± ² ³ ) . • For instance, if we choose x = 9 , we find that f 9 = 9 = 3 , which means that the point 9, f 9 , or 9, 3 , lies on the graph. • On the other hand, f ± 9 is undefined , because 9 ± Dom f . Therefore, there is no corresponding point on the graph with x = ± 9 . A (partial) table can help: x Point 0 0 0, 0 1 1 1, 1 4 2 4, 2 9 3 9, 3 Below, we sketch the graph of f : WARNING 1 : Clearly indicate any endpoints on a graph, such as the origin here.
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This document was uploaded on 12/29/2011.

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