A function is defined for with the following observed features: • A vertical asymptote at

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function

h

is defined for

-4<x<6

with the following observed features: • A vertical asymptote at

x=-1

. • An open circle at

(3,2)

but no other breaks near

x=3

. • No additional discontinuities on the interval. On which of the following sets is

h

continuous? (a)

(-4,3)\cup(3,6)

(b)

(-4,-1)\cup(-1,6)

(c)

(-4,-1)\cup(-1,3)\cup(3,6)

(d)

(-4,-1)\cup(-1,3)