The function is defined by p(x)= cases kx+3, & x<2

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The function

p

is defined by

p(x)=\begin{cases} kx+3, & x<2,\\ x^{2}-x, & x\ge 2.\end{cases}

For which value of

k

is

p

continuous at

x=2

but NOT differentiable there? (a)

k=3

(b)

k=-\dfrac12

(c) No real value of

k

satisfies the condition. (d)

k=0

Related theory

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