The real absolute value function is continuous everywhere. It is differentiable everywhere except for x = 0.
en.wikipedia.org/wiki/Absolute_value en.wikipedia.org/wiki/Absolute_value
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Introduces the basic technique for graphing absolute-value functions, and illustrates a common mistake. Taking the absolute value of a negative number makes it positive. For this reason, graphs of absolute value functions tend not to look quite like the graphs of linear functions that you've already studied.
www.purplemath.com/modules/graphabs.htm
Explore Graphs of Absolute Value Functions of the form |f(x)|. Compare the graphs of f(x) and |f(x)|. Set b and c to zero and select a positive value for a to obtain a quadratic function . Why are the two graphs the same? (Hint: use the definition of the absolute value functions).
www.analyzemath.com/Absolute_Value_Function/Absolute_Va... www.analyzemath.com/Absolute_Value_Function/Absolute_Value_Function.html
Tutorial on finding the domain and range and graphing absolute value functions This is a step by step tutorial on how to graph functions with absolute value. Properties of the graph of these functions such as domain, range, x and y intercepts are also discussed. Free graph paper is available.
www.analyzemath.com/Graphing/Graph_Abs_Val_Func.html
Based on the examples we've seen so far, there appears to be a pattern when it comes to graphing absolute value functions. When you have a function in the...
www.algebralab.org/lessons/lesson.aspx?file=Algebra_Abs... www.algebralab.org/lessons/lesson.aspx?file=Algebra_AbsoluteValueGraphing.xml
Absolute Value Function The absolute value of a real number x, |x|, is The following properties of the absolute value function need to be memorized.
www.math.tamu.edu/~stecher/171/F02/absoluteValueFunctio... www.math.tamu.edu/~stecher/171/F02/absoluteValueFunction.pdf
History (0 formulas) Complex Components Abs[z] © 1998-2009 Wolfram Research, Inc.
functions.wolfram.com/ComplexComponents/Abs/35/ functions.wolfram.com/ComplexComponents/Abs/35/
Explains absolute values in plain terms, and discusses notation, concepts, and common mistakes. The concept of absolute value has many uses, but you probably won't see anything interesting for a few more classes yet. There is a technical definition for absolute value, but you could easily never need it. For now,
www.purplemath.com/modules/absolute.htm www.purplemath.com/modules/absolute.htm
This lesson covers graphing functions by plotting points as well as finding the domain and range of a function after it has been graphed. Graphs are important in giving a visual representation of the correlation between two variables. This function is an absolute value function, so its graph will be a v shape.
www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebr... www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut31_graphfun1.htm
This sections illustrates the process of solving equations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.The following table is a EQUATIONS CONTAINING ABSOLUTE VALUE(S) - Solve for x in the following equations.
www.sosmath.com/algebra/solve/solve0/solve0.html
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