Identify the correct equation that the parameter must satisfy for the function f(x)=…

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

Problem

Identify the correct equation that the parameter

k

must satisfy for the function

f(x)= \begin{cases} kx+1, & x<2,\\ k+5, & x\ge 2 \end{cases}

to be continuous at

x=2

. (a)

(2k+1)=5

(b)

(2k+1)=(k+5)

(c)

(2k)=(k+5)

(d)

(2k+1)=5k