Mathematics

Mathematics

Problem

Let f(x)={kx+2,x<1,∣x−1∣+1,x≥1.f(x)=\begin{cases}kx+2,& x<1,\\ |x-1|+1,& x\ge 1.\end{cases} For which value of kk is ff continuous at x=1x=1 but not differentiable there? a) k=0k=0 b) k=−1k=-1 c) k=1k=1 d) k=−2k=-2

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