(Section 1.3: Basic Graphs and Symmetry) 1.3.4 TIP 1:The graph never falls below the x-axis, because squaresof real numbers are never negative. Look at the table. Each pair of opposite xvaluesyields a common function valuefx(), or y. • Graphically, this means that every point x,yon the graph has a “mirror image partner” ±x,ythat is also on the graph. These “mirror image pairs” are symmetric about the y-axis. • We say thatfis an even function. (Why?) A function fis even±f²x=,³x´Domf±The graph of
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Cartesian product, mirror image, Q.E.D., Quod Erat Demonstrandum