Let f(x)= cases |x|, & x

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)={∣x∣,x≤λ,x2,x>λf(x)= \begin{cases} |x|, & x\le \lambda,\\ x^{2}, & x>\lambda \end{cases} where λ\lambda is a real parameter. For which value(s) of λ\lambda is ff continuous at x=λx=\lambda? (a) {−1,1}\{-1,1\} (b) {0,1}\{0,1\} (c) {−1,0,1}\{-1,0,1\} (d) {−1,0}\{-1,0\}

Related theory

Browse the problem library