Let g(x)= cases x+3 , & x<1

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

Problem

Let

g(x)=\begin{cases}\sqrt{x+3}, & x<1,\\ kx+m, & 1\le x<4,\\ 2x-3, & x\ge 4.\end{cases}

The constants

k

and

m

are required to be integers. What is the least integer value of

k

for which such an integer

m

exists that makes

g

continuous on

\mathbb R

? (a)

0

(b)

3

(c)

1

(d)

2