Home/Differential Calculus/Intervals and absolute value/Formula1.1. Intervals and absolute valueFormulaIn 1.1. Intervals and absolute valueFormulaCopy LaTeX∣x∣={x,x≥0−x,x<0|x|=\begin{cases} x, & x\ge0\\ -x, & x<0 \end{cases}∣x∣={x,−x,x≥0x<0TagsDifferential calculusDomainFunctionsNotationIntervals and absolute valueDetailPiecewise definition of absolute value.VariablesxxxIndependent variableFound an error? Contact us.Related formulasRelatedFormula∣x−a∣<δ⟺a−δ<x<a+δ|x-a|<\delta \quad\Longleftrightarrow\quad a-\delta<x<a+\delta∣x−a∣<δ⟺a−δ<x<a+δOpen formulaOpen in sectionRelatedFormulax2=∣x∣\sqrt{x^2}=|x|x2=∣x∣Open formulaOpen in section