Lesson 14 Writing Piecewise Linear Functions











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=qs3HfoZeSDM

Complete this HW assignment using Lesson #14 Worksheet. Extra copy of Worksheet #14 can be found on the calendar tab on my Eboard under February 22, 2016.","styleRuns":[{"startIndex":0,"length":154,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":154,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMsBELsvGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3FzM0hmb1plU0RNGAYyJSIRIgtxczNIZm9aZVNETTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMsBELsvGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMoBELovIhMIvJXUi9rriwMVdm96BR3NmD2o"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"8g1yjtFmAe8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/8g1yjtFmAe8/hqdefault.jpg?sqp=-oaymwE8CKgBEF5IWvKriqkDLwgBFQAAAAAYASUAAMhCPQCAokN4AfABAfgBvgeAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLACTIi7ipMrGJZd2AbT4DEpaaV0FQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/8g1yjtFmAe8/hqdefault.jpg?sqp=-oaymwE9CNACELwBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Ab4HgALQBYoCDAgAEAEYZSBlKGUwDw== rs=AOn4CLDOnktlJ2XRG_Ngdsh4UKcNvutv_Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Writing Equations of Piecewise Functions by Karmen Wahl 138,847 views 9 years ago 9 minutes, 56 seconds"}},"simpleText":"Writing Equations of Piecewise Functions"},"longBylineText":{"runs":[{"text":"Karmen Wahl","navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@karmenwahl8067","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCaWq4toLbtiAQ18zDg_u9hg","canonicalBaseUrl":"/@karmenwahl8067"}}}]},"publishedTimeText":{"simpleText":"9 years ago"},"viewCountText":{"simpleText":"138,847 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"9 minutes, 56 seconds"}},"simpleText":"9:56"},"navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWRIs5D5sujv8eaqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=8g1yjtFmAe8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"8g1yjtFmAe8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f20d728ed16601ef ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1427500 mt=1740928637 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Karmen Wahl","navigationEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@karmenwahl8067","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCaWq4toLbtiAQ18zDg_u9hg","canonicalBaseUrl":"/@karmenwahl8067"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nBEoxxpX0bTyAqoem1_rWgk7PN-dav5rvGyaSmR7blFA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPahA74OYi-3R3IbyAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"138K views"}},"simpleText":"138K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMgBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMgBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"8g1yjtFmAe8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMgBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["8g1yjtFmAe8"],"params":"CAQ%3D"}},"videoIds":["8g1yjtFmAe8"]}},{"clickTrackingParams":"CMgBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMkBELlqIhMIvJXUi9rriwMVdm96BR3NmD2o"}},"popupType":"TOAST"}}]}},"trackingParams":"CMgBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPag=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs4ZzF5anRGbUFlOA%3D%3D","commands":[{"clickTrackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPag=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMcBEI5iIhMIvJXUi9rriwMVdm96BR3NmD2o","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPag=","hasSeparator":true}}],"trackingParams":"CMQBEKQwGAAiEwi8ldSL2uuLAxV2b3oFHc2YPag=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"9 minutes, 56 seconds"}},"simpleText":"9:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMYBEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"8g1yjtFmAe8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMYBEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"8g1yjtFmAe8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMYBEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMUBEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMUBEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"8g1yjtFmAe8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMUBEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["8g1yjtFmAe8"],"params":"CAQ%3D"}},"videoIds":["8g1yjtFmAe8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMUBEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Writing Equations of Piecewise Functions - 9 minutes, 56 seconds - Go to channel - Karmen Wahl - 138K views - 9 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"TljOsu6e1cw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/TljOsu6e1cw/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLD9bYKaqVYq93cgNgX4quGuiCoHZA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/TljOsu6e1cw/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLAqd31IGZmkMKln8ut07PUESCT1iw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lesson #20: Effect of A on Quadratic by Precise Pirkl 167 views 8 years ago 15 minutes"}},"simpleText":"Lesson #20: Effect of A on Quadratic"},"longBylineText":{"runs":[{"text":"Precise Pirkl","navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@precisepirkl7728","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzdGZj5Wy4OlTOMmvZo9ryA","canonicalBaseUrl":"/@precisepirkl7728"}}}]},"publishedTimeText":{"simpleText":"8 years ago"},"viewCountText":{"simpleText":"167 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 42 seconds"}},"simpleText":"15:42"},"navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWRIs5D5sujv8eaqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=TljOsu6e1cw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"TljOsu6e1cw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=4e58ceb2ee9ed5cc ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1427500 mt=1740928637 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Precise Pirkl","navigationEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@precisepirkl7728","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCzdGZj5Wy4OlTOMmvZo9ryA","canonicalBaseUrl":"/@precisepirkl7728"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_l3c0YMJJTvBIJUlCQ78Ji8wLVbQgA-9f_v0XF83RNq8g=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPahAzKv79K7Ws6xO","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"167 views"}},"simpleText":"167 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"TljOsu6e1cw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["TljOsu6e1cw"],"params":"CAQ%3D"}},"videoIds":["TljOsu6e1cw"]}},{"clickTrackingParams":"CMIBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMMBELlqIhMIvJXUi9rriwMVdm96BR3NmD2o"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgFIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPag=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtUbGpPc3U2ZTFjdw%3D%3D","commands":[{"clickTrackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPag=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMEBEI5iIhMIvJXUi9rriwMVdm96BR3NmD2o","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPag=","hasSeparator":true}}],"trackingParams":"CL4BEKQwGAEiEwi8ldSL2uuLAxV2b3oFHc2YPag=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 42 seconds"}},"simpleText":"15:42"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMABEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"TljOsu6e1cw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMABEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"TljOsu6e1cw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMABEPnnAxgBIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL8BEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"TljOsu6e1cw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL8BEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["TljOsu6e1cw"],"params":"CAQ%3D"}},"videoIds":["TljOsu6e1cw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL8BEMfsBBgCIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Lesson #20: Effect of A on Quadratic - 15 minutes - Go to channel - Precise Pirkl - 167 views - 8 years ago - play video"}}}},{"compactVideoRenderer":{"videoId":"MrvePmj20eo","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/MrvePmj20eo/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCisvLLGsVYB0YYSNB8OEwGcBDwHw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/MrvePmj20eo/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLADnJ0BBT4zMKQwxt7f00HpRhhoyw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The Mathematician Forced to Become a Genius by Newsthink 56,937 views 18 hours ago 15 minutes"}},"simpleText":"The Mathematician Forced to Become a Genius"},"longBylineText":{"runs":[{"text":"Newsthink","navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Newsthink","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCIlU5KDHKFSaebYviKfOidw","canonicalBaseUrl":"/@Newsthink"}}}]},"publishedTimeText":{"simpleText":"18 hours ago"},"viewCountText":{"simpleText":"56,937 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 21 seconds"}},"simpleText":"15:21"},"navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWRIs5D5sujv8eaqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=MrvePmj20eo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"MrvePmj20eo","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=32bbde3e68f6d1ea ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=836250 mt=1740928637 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Newsthink","navigationEndpoint":{"clickTrackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPagyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Newsthink","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCIlU5KDHKFSaebYviKfOidw","canonicalBaseUrl":"/@Newsthink"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/wbWDwTJ49RDlVsxwcBDnsMETGvN2hjuVsmw1AaUULemzb4i8H2gk7a316GhgDyAF9kq5igdOtjE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPahA6qPbx-bH990y","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"56K views"}},"simpleText":"56K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLwBEP6YBBgHIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLwBEP6YBBgHIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MrvePmj20eo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLwBEP6YBBgHIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MrvePmj20eo"],"params":"CAQ%3D"}},"videoIds":["MrvePmj20eo"]}},{"clickTrackingParams":"CLwBEP6YBBgHIhMIvJXUi9rriwMVdm96BR3NmD2o","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CL0BELlqIhMIvJXUi9rriwMVdm96BR3NmD2o"}},"popupType":"TOAST"}}]}},"trackingParams":"CLwBEP6YBBgHIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNcnZlUG1qMjBlbw%3D%3D","commands":[{"clickTrackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLsBEI5iIhMIvJXUi9rriwMVdm96BR3NmD2o","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","hasSeparator":true}}],"trackingParams":"CLgBEKQwGAIiEwi8ldSL2uuLAxV2b3oFHc2YPag=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 21 seconds"}},"simpleText":"15:21"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLoBEPnnAxgDIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"MrvePmj20eo","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLoBEPnnAxgDIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"MrvePmj20eo"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLoBEPnnAxgDIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLkBEMfsBBgEIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLkBEMfsBBgEIhMIvJXUi9rriwMVdm96BR3NmD2o","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"MrvePmj20eo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLkBEMfsBBgEIhMIvJXUi9rriwMVdm96BR3NmD2o","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["MrvePmj20eo"],"params":"CAQ%3D"}},"videoIds":["MrvePmj20eo"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLkBEMfsBBgEIhMIvJXUi9rriwMVdm96BR3NmD2o"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"The Mathematician Forced to Become a Genius - 15 minutes - Go to channel - Newsthink - 56K views - 18 hours ago - play video"}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/hxanquMn3eU/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBQAUHPho7uzpR8zqvfuUP_XO99ZQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/hxanquMn3eU/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAJFxxLmDeMZ-B15jcsBJAN3SSJbA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"25 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3346710,"darkTheme":3346710}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5840422,"darkTheme":5840422}}},"stackColor":{"lightTheme":10054513,"darkTheme":9664122}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Fuzzy Logic"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"CodeCrucks

#############################









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org