This preview shows page 1. Sign up to view the full content.
CONTINUITY
Roughly speaking, a function is said to be continuous on an interval if its graph has no breaks, jumps,
or holes in that interval. So, a continuous function has a graph that can be drawn without lifting the
pencil from the paper.
1. Which of the functions graphed below are continuous?
More specifically, a function is continuous if nearby values of the independent variable give nearby
values of the function.
Example: Let
()
p x
be the cost of mailing a letter weighing
x
ounces. According to our current postal
rates,
and
. But
(1.00)
$0.37
p
=
(0.99)
$0.37
p
=
(1.01)
$0.59
p
=
. So values nearby
do not
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '08
 Grether
 Continuity

Click to edit the document details