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[tex]\mathrm{Domain\:of\:}\:\left|2x+7\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Range\:of\:}\left|2x+7\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
[tex]\mathrm{Axis\:interception\:points\:of}\:\left|2x+7\right|:\quad \mathrm{X\:Intercepts}:\:\left(-\frac{7}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:7\right)[/tex]
[tex]\mathrm{Asymptotes\:of}\:\left|2x+7\right|:\quad \mathrm{None}[/tex]
[tex]\mathrm{Extreme\:Points\:of}\:\left|2x+7\right|:\quad \mathrm{Minimum}\left(-\frac{7}{2},\:0\right)[/tex]