For in , define The value of that makes continuous on the entire interval…

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

Problem

For

x

[0,4]

, define

f(x)=\begin{cases}kx+1, & 0\le x<2,\\ x^{2}-3x+2, & 2\le x\le4.\end{cases}

The value of

k

that makes

f

continuous on the entire interval

[0,4]

is (a)

1

(b)

0

(c)

-\dfrac{1}{2}

(d)

-1