The function is defined by f(x)= cases mx+1, & x<0

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

Problem

The function

f

is defined by

f(x)=\begin{cases} mx+1, & x<0,\\ x^{2}+n, & 0\le x<3,\\ mx+n, & x\ge 3. \end{cases}

f

is continuous at both

x=0

and

x=3

, which ordered pair

(m,n)

satisfies these conditions? (a)

(3,0)

(b)

(2,1)

(c)

(3,1)

(d)

(3,4)