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Additional formulas include the Change of Base Formula for logarithms, plus the idea of sets closed under 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ay-coordinate that is greater than they-coordinates of every other point on the graph.  \nExample  \nThe ordered pair (4, 2) is the absolute maximum of the graph of the function f (x) 5 2x2 1 4x 2 6.  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | – |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | – |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | – |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | – |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | |  |  |  |  |  |  |  |  | |  |\n\n–2  \n\n|  | 8\u003Cbr>6 | y\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| (4, 2)\u003Cbr>| |  |\n| --- | --- | --- | --- | --- | --- |\n| –8 –6 –4\u003Cbr>y = – 12x2 + 4x – 6 |  | 0\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| 2 4 6 | 8 | x |\n\nabsolute minimum  \na function has an absolute minimum if thereis a point that has ay-coordinate that is less than they-coordinates of every other point on the graph.  \nExample  \nThe ordered pair (1, 24) is the absolute minimum of the graph of the function y 5 x2 2 x 2 .  \n\n| |  |  |  |  |  |  |  |  |  |  | y |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  |  |  |  |  |  | |  |  |  |  |  |  |  |  | |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 8 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 6 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | 4 |  |  |  |  |  |  |  |  |  |  |  |\n|  | y | = | 2 | 2 | – 4 | x | – 10 |  |  | 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  | 3 |  | 3 |  | 3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | –8 |  |  |  | –4 |  | –2 |  |  | 0 |  |  |  |  |  |  |  |  |  | x |\n|  |  |  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | – |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | – |  | (1 | –4) |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | , |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | – | 6 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | – | 8 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n2  \n4  \n6  \n8  \n–6  \n4  \nx  \nGlossary • G-1  \nabsolute value  \nThe absolute value of a number is its distance from zero on the number line.  \nargument o","cbCaiqPL4tdsnJOj","https://ap.wps.com/l/cbCaiqPL4tdsnJOj","pdf",933150,"English","# Glossary Terms\n## Absolute maximum and absolute minimum\n## Absolute value and function argument\n## Average rate of change\n## Biased sample\n## Binomial Theorem\n## Change of Base Formula\n## Closed under an operation","[{\"question\":\"What is an absolute maximum of a function on a graph?\",\"answer\":\"An absolute maximum occurs at a point whose y-coordinate is greater than the y-coordinates of every other point on the graph.\"},{\"question\":\"What is an absolute minimum of a function on a graph?\",\"answer\":\"An absolute minimum occurs at a point whose y-coordinate is less than the y-coordinates of every other point on the graph.\"},{\"question\":\"How is the argument of a function defined?\",\"answer\":\"The argument of a function is the expression inside the parentheses.\"}]","Glossary - Absolute maximum, absolute minimum, and key function terms | PDF",1790589197,48]