{"id":9504,"date":"2019-06-17T23:25:15","date_gmt":"2019-06-17T20:25:15","guid":{"rendered":"http:\/\/mathland.gr\/?p=9504"},"modified":"2019-06-17T23:25:15","modified_gmt":"2019-06-17T20:25:15","slug":"%ce%ac%cf%81%cf%84%ce%b9%ce%b1-%cf%80%ce%b5%cf%81%ce%b9%cf%84%cf%84%ce%ae-%cf%83%cf%85%ce%bd%ce%ac%cf%81%cf%84%ce%b7%cf%83%ce%b7","status":"publish","type":"post","link":"https:\/\/dpanagiotis.sites.sch.gr\/?p=9504","title":{"rendered":"\u0386\u03c1\u03c4\u03b9\u03b1 &#8211; \u03a0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae \u03a3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7"},"content":{"rendered":"\n<p>\u0388\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 f \u03bc\u03b5 \u03c4\u03cd\u03c0\u03bf f(x)=x<sup>2<\/sup>. \u03a4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ce\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c4\u03c9\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd ( \u0391<sub>f<\/sub>=R) \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03c9 \u03c4\u03bf f(2)=2<sup>2<\/sup>=4 \u03ba\u03b1\u03b9 \u03c4\u03bf f(-2)=(-2)<sup>2<\/sup>=4. \u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ce \u03cc\u03c4\u03b9 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 f(-2)=f(2). \u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 -3 \u03ba\u03b1\u03b9 3 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03bc\u03bf\u03c5 \u03b4\u03af\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1, \u03b1\u03c6\u03bf\u03cd f(-3)=(-3)<sup>2<\/sup>=9 \u03ba\u03b1\u03b9 f(3)=3<sup>2<\/sup>=9. \u0391\u03bd \u03c4\u03bf \u03c3\u03ba\u03b5\u03c6\u03c4\u03bf\u03cd\u03bc\u03b5 \u03bb\u03af\u03b3\u03bf \u03b8\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03bf\u03c0\u03bf\u03b9\u03bf\u03bd\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc x \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03c9, \u03c0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03c4\u03bf f(x)=x<sup>2<\/sup> \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c4\u03bf -x \u03c0\u03bf\u03c5 \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 f(-x)=(-x)<sup>2<\/sup>=x<sup>2<\/sup>=f(x). \u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03ac\u03c1\u03c4\u03b9\u03b1. \u03a3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1,<\/p>\n\n\n<p>[su_tabs vertical=&#8221;yes&#8221;][su_tab title=&#8221;\u0386\u03c1\u03c4\u03b9\u03b1&#8221; disabled=&#8221;no&#8221; anchor=&#8221;&#8221; url=&#8221;&#8221; target=&#8221;blank&#8221; class=&#8221;&#8221;]\u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 f \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03ac\u03c1\u03c4\u03b9\u03b1 \u03b1\u03bd \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc x \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03bb\u03ad\u03b3\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03b9 \u03bf \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03cc\u03c2 \u03c4\u03bf\u03c5, \u03bf -x, \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03bf\u03b9 \u03b4\u03cd\u03bf \u03b1\u03c5\u03c4\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.[\/su_tab]<br \/>\n[su_tab title=&#8221;\u03a0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae&#8221; disabled=&#8221;no&#8221; anchor=&#8221;&#8221; url=&#8221;&#8221; target=&#8221;blank&#8221; class=&#8221;&#8221;]\u039c\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 f \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae \u03b1\u03bd<br \/>\u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc x \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03bb\u03ad\u03b3\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03b7\u03c2 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03b9 \u03bf \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03cc\u03c2 \u03c4\u03bf\u03c5, \u03bf -x, \u03c3\u03c4\u03bf \u03c0\u03b5\u03b4\u03af\u03bf \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03bf\u03b9 \u03b4\u03cd\u03bf \u03b1\u03c5\u03c4\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b5\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2.[\/su_tab]<br \/>\n[\/su_tabs]<\/p>\n\n\n\n<p>\u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03b1\u03c5\u03c4\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03be\u03b1\u03bd\u03ac \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c4\u03ce\u03c1\u03b1 \u03bc\u03b5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03b1:<\/p>\n\n\n<p>[su_box title=&#8221;\u0386\u03c1\u03c4\u03b9\u03b1&#8221; style=&#8221;soft&#8221; box_color=&#8221;#011125&#8243;]\u03b1\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2<br \/>\n\u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-63d2f3b9ed387b4eaaff876a049945df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -6px;\"\/> \u03ba\u03b1\u03b9 \u03c4\u03bf <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-06dfa253553c341e3ea281ceba3e43de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -6px;\"\/><br \/>\n\u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-35294856eff46615b8214f0a2b08777c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#45;&#120;&#41;&#61;&#102;&#40;&#120;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"\/> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-63d2f3b9ed387b4eaaff876a049945df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -6px;\"\/>[\/su_box]<\/p>\n\n\n<p>[su_box title=&#8221;\u03a0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae&#8221; style=&#8221;soft&#8221; box_color=&#8221;#011125&#8243;]\u03b1\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2<br \/>\n\u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-63d2f3b9ed387b4eaaff876a049945df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -6px;\"\/> \u03ba\u03b1\u03b9 \u03c4\u03bf <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-06dfa253553c341e3ea281ceba3e43de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -6px;\"\/><br \/>\n\u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-26c457087aea8e86d65bc9ca86a5c0a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#45;&#120;&#41;&#61;&#45;&#102;&#40;&#120;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"\/> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-63d2f3b9ed387b4eaaff876a049945df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#92;&#105;&#110;&#32;&#65;&#95;&#102;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -6px;\"\/>[\/su_box]<\/p>\n\n\n\n<p>\u0391\u03c2 \u03b5\u03c0\u03b1\u03bd\u03ad\u03bb\u03b8\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03be\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03b1\u03bc\u03b5, \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/ql-cache\/quicklatex.com-03b72a78b6c993b67eda99adc32b96d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#120;&#41;&#61;&#120;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"\/> \u03a4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391(2,f(2))\u00a0 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03bf \u0391(2,4) \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 f. \u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03cc\u03bc\u03c9\u03c2 \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391'(-2,f(-2))=(-2,4). \u03a4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c5\u03c4\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 \u03c8&#8217;\u03c8. \u0393\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03bc\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 f, \u03b1\u03c6\u03bf\u03cd \u03b1\u03c5\u03c4\u03ae \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u039c(x,f(x)) \u03ba\u03b1\u03b9 \u039c'(-x,f(-x))=(-x,f(x)) \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf\u03bd \u03c8&#8217;\u03c8. \u0391\u03c5\u03c4\u03cc &#8220;\u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac&#8221; \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 <strong>\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 f \u03ad\u03c7\u03b5\u03b9\u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 \u03c8&#8217;\u03c8 \u03c9\u03c2 \u03ac\u03be\u03bf\u03bd\u03b1 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u03c2<\/strong>.<\/p>\n<p>\u03ba\u03b1\u03c4&#8217; \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03af\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u039d(x,f(x)) \u03ba\u03b1\u03b9 \u039d'(-x,f(-x))=(-x,-f(x)) \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd \u039f(0,0). \u0394\u03b7\u03bb\u03b1\u03b4\u03ae \u03bc\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1 <strong>\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03c9\u03bd \u03b1\u03be\u03cc\u03bd\u03c9\u03bd<\/strong>.<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-9505 aligncenter\" src=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/06\/\u03ac\u03c1\u03c4\u03b9\u03b1-\u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae-1-300x93.png\" alt=\"\" width=\"423\" height=\"131\" srcset=\"https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/06\/\u03ac\u03c1\u03c4\u03b9\u03b1-\u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae-1-300x93.png 300w, https:\/\/dpanagiotis.sites.sch.gr\/wp-content\/uploads\/2019\/06\/\u03ac\u03c1\u03c4\u03b9\u03b1-\u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae-1.png 469w\" sizes=\"auto, (max-width: 423px) 100vw, 423px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u03a0\u03cc\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 &#8220;\u03ac\u03c1\u03c4\u03b9\u03b1&#8221;, \u03c0\u03cc\u03c4\u03b5 &#8220;\u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03ae&#8221;; \u03a4\u03b9 \u03ba\u03b5\u03c1\u03b4\u03af\u03b6\u03c9 \u03b1\u03bd \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03c9 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7 \u03ba\u03b1\u03c4\u03b7\u03b3\u03bf\u03c1\u03af\u03b1;<\/p>\n","protected":false},"author":1,"featured_media":10951,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,16],"tags":[68],"class_list":["post-9504","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-alyk","category-functions","tag-function"],"_links":{"self":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts\/9504","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9504"}],"version-history":[{"count":0,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts\/9504\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/media\/10951"}],"wp:attachment":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9504"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9504"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9504"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}