The equation y =

Chapter 0, Problem 71

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The equation \(y=|f(x)|\) can be written as

                       

                                                     \(y=\left\{\begin{array}{cc}f(x) & f(x) \geq 0 \\-f(x), & f(x)<0\end{array}\right.\)

which shows that the graph of \(y=|f(x)|\) can be obtained from the graph of \(f(x)\) by retaining the portion that lies on or above the \(x\) -axis and reflecting about the \(x\) -axis the portion that lies below the \(x\) -axis. Use this method to obtain the graph of \(y = |2x − 3|\) from the graph of \(y = 2x − 3\).

Equation Transcription:

Text Transcription:

y = |f(x)|

y = {f(x) geq 0 -f(x), & f(x) < 0

 

y = |f(x)|

y = f(x)

x

x

x

y = |2x - 3|

y = 2x -3

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