Let be defined by f(x)= cases kx+2, & x<3

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

Problem

Let

f

be defined by

f(x)=\begin{cases} kx+2, & x<3,\\ x^2-7, & x\ge 3. \end{cases}

Which equation must be satisfied for

f

to be continuous at

x=3

? (a)

3k+2=0

(b)

k=2

(c)

3k+2=2

(d)

3k+2=9