{"id":32,"date":"2021-02-03T20:17:56","date_gmt":"2021-02-03T20:17:56","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/continuity\/"},"modified":"2021-04-20T17:02:28","modified_gmt":"2021-04-20T17:02:28","slug":"introduction-to-continuity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/calculus1\/chapter\/introduction-to-continuity\/","title":{"raw":"Introduction to Continuity","rendered":"Introduction to Continuity"},"content":{"raw":"

What you\u2019ll learn to do:\u00a0Discuss continuity at a point and continuity over an interval<\/h2>\r\n

Many functions have the property that their graphs can be traced with a pencil without lifting the pencil from the page. Such functions are called\u00a0continuous<\/em>. Other functions have points at which a break in the graph occurs, but satisfy this property over intervals contained in their domains. They are continuous on these intervals and are said to have a\u00a0discontinuity at a point<\/em>\u00a0where a break occurs.<\/p>","rendered":"

What you\u2019ll learn to do:\u00a0Discuss continuity at a point and continuity over an interval<\/h2>\n

Many functions have the property that their graphs can be traced with a pencil without lifting the pencil from the page. Such functions are called\u00a0continuous<\/em>. Other functions have points at which a break in the graph occurs, but satisfy this property over intervals contained in their domains. They are continuous on these intervals and are said to have a\u00a0discontinuity at a point<\/em>\u00a0where a break occurs.<\/p>\n\n\t\t\t

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