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Absolute Value Functions

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Graphs and Compound Functions. Absolute Value Functions. Select the desired MENU option below Graphs 1. Translations Quick Graphs Graphing Inequalities Writing as Compound Functions 4. Using the vertex and slopes 5. From Definition. Absolute Value Functions. Translations. - PowerPoint PPT Presentation

Text of Absolute Value Functions

  • ABSOLUTE VALUE FUNCTIONSGraphsandCompound Functions

  • ABSOLUTE VALUE FUNCTIONS

    Select the desired MENU option below

    Graphs1. TranslationsQuick GraphsGraphing Inequalities

    Writing as Compound Functions4. Using the vertex and slopes5. From Definition

  • ABSOLUTE VALUE FUNCTIONSTranslations

  • y =|x|

  • y = |x+1| + 2

  • y = |2x+5| - 4

  • y = 2 |x - 3| + 1

  • y = 3 |2x - 3| - 4

  • ABSOLUTE VALUE FUNCTIONSQuick Graphs

  • y =|x|

  • y = |x+1| + 2

  • y = |2x+5| - 4

  • y = 2 |x - 3| + 1

  • y = 3 |2x - 3| - 4

  • ABSOLUTE VALUE FUNCTIONSGraphing Inequalities

  • y |2x+5| - 4

  • y > -2 |x - 3| + 1

  • y |x+1| + 2

  • y < -2 |3x + 4| + 1

  • y 3|-2x + 8| - 1

  • ABSOLUTE VALUE FUNCTIONSWriting asCompound Functionsusing Vertex and slopes

  • y = | x + 2 | Vertex (-2, 0) Slopes of sidesm = 1right sideleft sideJeff Bivin -- LZHS

  • y = 3| x - 4 | Vertex (4, 0) Slopes of sidesm = 3right sideleft side

  • y = -2| x + 1 | VertexSlopes of sidesm = 2right sideleft side

  • y = 2| x - 5 | +3 Vertex (5, 3) Slopes of sidesm = 2right sideleft side

  • y = -4| 2x - 5 | + 7 VertexSlopes of sidesm = 8right sideleft side

  • ABSOLUTE VALUE FUNCTIONSWriting asCompound FunctionsFrom Definition

  • y = | x + 2 | If x > -2 If x < -2

  • y = 3| x - 4 | If x > 4 If x < 4

  • y = -2| x + 1 | If x > -1 If x < -1

  • y = -3| 2x + 3 | + 1