Consider the function defined on the closed interval by

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

Problem

Consider the function

p

defined on the closed interval

[0,4]

p(x)=\sqrt{4-x}

. Determine whether

p

is continuous at

x=0

. (a)

p

is not continuous at

x=0

because the left-hand limit is not defined within the domain. (b)

p

is not continuous at

x=0

because the right-hand limit is infinite. (c)

p

is continuous at

x=0

because the right-hand limit equals

p(0)

. (d)

p

is not continuous at

x=0

because

p(0)=0

while the right-hand limit equals

2