Consider the function g(x)= cases 2x, & x<3 7-x, & x 3 cases

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

Problem

Consider the function

g(x)= \begin{cases} 2x, & x<3\\ 7-x, & x\ge 3 \end{cases}.

Which statement correctly describes the behavior of

g

x=3

? (a)

g

has a removable discontinuity at

x=3

. (b)

g

has an infinite discontinuity at

x=3

. (c)

g

has a jump discontinuity at

x=3

. (d)

g

is continuous at

x=3