LINR 3 | Lesson 3 | Try This! (Absolute Value Parent Function) Solutions

Graph Table Characteristics

Vertex:  \((0,0)\)

Axis of Symmetry:  \(x = 0\)

Increasing:  \(x\geq 0\);  Decreasing \(-∞< x<0\)

Domain:  \(-∞< x< ∞\)  Range:  \(y\geq0\)

Rewrite as a piecewise function:

\(f(x)=\begin{cases} \phantom{-}x; \quad x\geq0 \\ -x; \quad x<0\end{cases}\)

Lets take a closer look at parent functions:


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