{"id":506,"date":"2023-07-03T19:24:53","date_gmt":"2023-07-03T19:24:53","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/?post_type=chapter&p=506"},"modified":"2024-01-08T19:02:01","modified_gmt":"2024-01-08T19:02:01","slug":"introduction-symmetry-of-a-function","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/introduction-symmetry-of-a-function\/","title":{"raw":"2.6 Introduction to Symmetry of a Function","rendered":"2.6 Introduction to Symmetry of a Function"},"content":{"raw":"

What you\u2019ll learn to do: Identify symmetry of a function<\/h2>\r\n

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Have you ever seen an eaglet standing in water? We can see its mirrored image on the surface of water. The image is the same but upside-down. The word \"symmetry\" is from Ancient Greek<\/a>\u00a0<\/i>\u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1<\/a><\/span><\/span>\u00a0(summetr\u00eda<\/span>)<\/i> that means\u00a0'agreement in dimensions, due proportion, arrangement.\u00a0In everyday language, it refers to a sense of harmonious and beautiful proportion and balance. [footnote]Source: Wikipedia[\/footnote]\u00a0 Symmetry is useful when we graph a function because we can graph it by knowing only a portion of it. However, not every function is symmetric, and there is more than one kind of symmetry in function.\u00a0In this section, we will think about symmetry of a function.\u00a0<\/span><\/p>","rendered":"

What you\u2019ll learn to do: Identify symmetry of a function<\/h2>\n

\"\"<\/p>\n

Have you ever seen an eaglet standing in water? We can see its mirrored image on the surface of water. The image is the same but upside-down. The word “symmetry” is from Ancient Greek<\/a>\u00a0<\/i>\u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1<\/a><\/span><\/span>\u00a0(summetr\u00eda<\/span>)<\/i> that means\u00a0‘agreement in dimensions, due proportion, arrangement.\u00a0In everyday language, it refers to a sense of harmonious and beautiful proportion and balance. [1]<\/sup><\/a>\u00a0 Symmetry is useful when we graph a function because we can graph it by knowing only a portion of it. However, not every function is symmetric, and there is more than one kind of symmetry in function.\u00a0In this section, we will think about symmetry of a function.\u00a0<\/span><\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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