The graph of a function is described on the interval

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

Problem

The graph of a function

h

is described on the interval

[-3,5]

. • A closed point at

(-3,0)

begins a smooth curve that continues to

x=-1

. • At

x=-1

there is an open circle; a closed point at

(-1,2)

starts another smooth curve that extends to

x=1

. • At

x=1

both one-sided limits equal

1

, but the point

(1,1)

is missing. • From

x=1

x=3

the graph is a straight line ending with an open circle at

(3,3)

. • In the interval

3< x<4

no points of the graph are shown, and there is a vertical asymptote at

x=4

. • No points are plotted for

4< x<5

, but there is a closed point at

(5,2)

. How many points of discontinuity does

h

have in

[-3,5]

? (a)

3

(b)

6

(c)

5

(d)

4