A function is defined by g(x)= cases 3x+2, & x1

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

Problem

A function

g

is defined by

g(x)=\begin{cases}3x+2, & x<1,\\ 5, & x=1,\\ x^{2}+1, & x>1.\end{cases}

Determine the type of discontinuity of

g

x=1

. (a)

g

is continuous at

x=1

(b) Jump discontinuity (c) Removable discontinuity (d) Infinite discontinuity