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[PDF File]1 Absolute values and discrete valuations
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18.785 Number theory I Fall 2017 Lecture #1 09/06/2017 1 Absolute values and discrete valuations. 1.1 Introduction. At its core, number theory is the study of the integer ring Z.
definition of absolute value function

[PDF File]Piecewise, Absolute Value, and Step Functions
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A step function or staircase function is a piecewise function containing all constant "pieces". The constant pieces are observed across the adjacent intervals of the function, as they change value from one interval to the next. A step function is discontinuous cannot draw a …
graphing absolute value functions pdf

[PDF File]PACKET 2 GRAPHING ABSOLUTE VALUE FUNCTIONS
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The value of k, for an absolute value function in standard form determines the vertical shift of the function. As before, if the function is simply defined as f()x, we are looking at f()x +3 and ()3 x f − respectively. f x()x =− On the left we have the opposite of the parent function. In this example…
graphing absolute value functions

[PDF File]The Absolute Value Function, and its Properties
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The Absolute Value Function, and its Properties One of the most used functions in mathematics is the absolute value function. Its definition and some
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[PDF File]The Absolute Value Function, and its Properties
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The absolute value function is used to measure the distance between two numbers. Thus, the distance between x and 0 is jx 0j= jxj, and the distance between x and y is jx yj. Thus, the distance from 2 to 4 is j 2 ( 4)j= j 2 + 4j= j2j= 2, and the distance from 2 to 5 is j 2 5j= j 7j= 7. The following properties of the absolute value function need ...
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[PDF File]Solving Absolute Value Equations Examples
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Solving Absolute Value Equations Examples 1. Even though the numbers –5 and 5 are different, they do have something in common. They are the same distance from 0 on the number line, but in opposite directions. 2. We say that –5 and 5 have the same absolute value. ... Example …
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[PDF File]Absolute Value Functions - ClassZone
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Page 1 of 2 2.8 Absolute Value Functions 123 To graph an absolute value function you may find it helpful to plot the vertex and one other point. Use symmetry to plot a third point and then complete the graph.
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[PDF File]Algebra 3-4 Unit 1 Absolute Value Functions and Equations
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Absolute Value Functions and Equations 1.1 I can write domain and range in interval notation when given a graph or an equation. 1.1 I can write a function given a real world situation and write an appropriate domain and range. 1.2 I can identify intercepts and the slope of a linear equation. 1.2 I can identify increasing, decreasing, and
graphing absolute value functions examples

[PDF File]Integrating an Absolute Value
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Integrating an Absolute Value Z 4 0 jx3 5x2 + 6xjdx There is no anti-derivative for an absolute value; however, we know it’s de nition. jxj= ˆ x if x 0 x elsewise
definition of absolute value function

[PDF File]THE ABSOLUTE VALUE FUNCTION AND ITS TRANSLATIONS
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Vertex form of Absolute Value Function THE ABSOLUTE VALUE FUNCTION AND ITS TRANSLATIONS: Parent function: Vertical translations: Translation up k units Translation down k units Horizontal translations: Translation right h units Translation left h units Combined horizontal and vertical Reflection in x -axis Stretch Shrink
graphing absolute value functions pdf

Absolute value function example