Define If is continuous on the entire real line

MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Calculus

Problem

Define $f(x)=\begin{cases} kx^{2}+3x,& x<1, 2x+m,& 1\le x<4, x^{2}-5,& x\ge 4. \end{cases}$ If

f

is continuous on the entire real line, then the ordered pair

(k,\,m)

equals (a)

(3,2)

(b)

(2,3)

(c)

(1,2)

(d)

(0,3)