2.4 Symmetry
Determine whether a graph is symmetric with respect to the x-axis, the y-axis, and the origin.
Determine whether a function is even, odd, or neither even nor odd.
Symmetry
Symmetry occurs often in nature and in art. For example, when viewed from the front, the bodies of most animals are at least approximately symmetric. This means that each eye is the same distance from the center of the bridge of the nose, each shoulder is the same distance from the center of the chest, and so on. Architects have used symmetry for thousands of years to enhance the beauty of buildings.
A knowledge of symmetry in mathematics helps us ...
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