Mathegoras

Calculus › Continuity › Continuity of piecewise functions

Piecewise function with equal values

High school · ●●●○○ 50 pts

Let a≠0a \neq 0 be a real number, and define the function f(x)f(x) by f(x)={2x+a,x<1,−x−2a,x≥1.f(x)=\begin{cases}2x+a, & x<1,\\ -x-2a, & x\geq 1.\end{cases} If f(1−a)=f(1+a)f(1-a)=f(1+a), find the value of aa. Give your answer as a decimal.

Sign in to save your progress.

piecewise functionsfunction evaluationlinear equationscase analysis