Let f(x)= cases kx+2,& x<1, |x-1|+1,& x 1

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

Problem

Let

f(x)=\begin{cases}kx+2,& x<1,\\ |x-1|+1,& x\ge 1.\end{cases}

For which value of

k

is

f

continuous at

x=1

but not differentiable there? (a)

k=0

(b)

k=-1

(c)

k=1

(d)

k=-2

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