Skip to navigation
Skip to content
© 2016 Shmoop University, Inc. All rights reserved.
We speak student
Register
Login
Premium Shmoop

Free Essay Lab
Toggle navigation
Premium
Test Prep
Learning Guides
College
Careers
Video
Essay Lab
Teachers
Courses
Schools
Continuity of Functions
Home
/
Calculus
/
Continuity of Functions
/
Module Quizzes
/
Go Ahead and Jump True or False Quiz
Module Quizzes
/
Go Ahead and Jump True or False Quiz
SHMOOP PREMIUM
Topics
SHMOOP PREMIUM
SHMOOP PREMIUM
×
Close
Cite This Source
MENU
Intro
Topics
Examples
Exercises
Quizzes
A Hop, Skip, and a Jump
Is It Discontinued?
Go Ahead and Jump
True or False
Terms
Handouts
Best of the Web
Table of Contents
Continuity of Functions: Go Ahead and Jump True or False
1.
Which of the following statements is true? >
A bounded function on a closed interval [
a
,
b
] must be continuous.
True
False
2.
Let
. For which interval can we use the Boundedness Theorem to conclude that
f
must be bounded on that interval?
> [1, 2]
True
False
3.
Which of the following graphs shows a function that is both bounded and discontinuous on [
a
,
b
]?
>
(a), (b), and (d)
True
False
4.
A continuous function on a closed interval [
a
,
b
]
> must be bounded on that interval but need not attain a maximum value on that interval.
True
False
5.
What is the maximum value of
f
(
x
) = sin(
x
) on the interval [π, 2π)?
> 0
True
False
6.
A continuous function on a closed interval [
a
,
b
]
> may attain its maximum and minimum value an infinite number of times each.
True
False
7.
Let
. For which interval(s) can we use the Extreme Value Theorem to conclude that
f
must attain a maximum and minimum value on that interval?
> neither [0, 1] nor [1, 0]
True
False
8.
If
f
is continuous on [
a
,
b
] and
f
(
b
)<
M
<
f
(
a
) then the Intermediate Value Theorem tells us
how many values of
c
exist in (
a
,
b
) with
f
(
c
) =
M
.
True
False
9.
Let
. On which of the following intervals does the IVT guarantee the existence of a value
c
with
f
(
c
) = 0?
> (3, 0)
True
False
10.
Which of the following pictures best illustrates the IVT?
>
Picture (d)
True
False
Submit
Logging out…
Logging out...
You've been inactive for a while, logging you out in a few seconds...