Precalc0103to0104-page4 - (Section 1.3 Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.4 TIP 1 : The graph never falls below the x -axis, because squares of real numbers are never negative . Look at the table. Each pair of opposite x values yields a common function value fx () , or y . Graphically , this means that every point x , y on the graph has a “mirror image partner” ± x , y that is also on the graph. These “mirror image pairs” are symmetric about the y -axis . • We say that f is an even function . (Why?) A function f is even ± f ² x = , ³ x ´ Dom f ± The graph of
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