Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

All Calculus AB Resources

45 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review Calculus AB but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Calculus AB flashcards! Our Calculus AB flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Calculus AB flashcards.

Flashcards: Apply Intermediate Value Theorem

Which of the following does NOT satisfy the conditions required to apply the Intermediate Value Theorem to a function on the interval [a,b] ?

The function f must be continuous along [a,b] to apply Intermediate Value Theorem

Intermediate Value Theorem can be used when f(a) = f(b)

Intermediate Value Theorem considers points within the interval [a,b]

Intermediate Value Theorem cannot be applied outside of the interval [a,b]

Report an Error Copyright Notice

Flashcards: Apply Intermediate Value Theorem

Which of the following does NOT satisfy the conditions required to apply the Intermediate Value Theorem to a function on the interval [a,b] ?

Your answer:

The function f must be continuous along [a,b] to apply Intermediate Value Theorem

Your answer:

Intermediate Value Theorem considers points within the interval [a,b]

Your answer:

Intermediate Value Theorem cannot be applied outside of the interval [a,b]

Correct answer:

Intermediate Value Theorem can be used when f(a) = f(b)

Explanation:

Intermediate Value Theorem states that if the function is continuous and has a domain containing the interval [a,b] , then at some number within the interval [a,b] the function will take on a value f(c)=N that is between the values of f(a) and f(b) .

The conditions that must be satisfied in order to use Intermediate Value Theorem include that the function must be continuous and the number must be within the interval [a,b] . However, f(a) cannot equal f(b) .

Therefore, the answer choice “Intermediate Value Theorem can be used when f(a) = f(b) ” does not satisfy the necessary conditions and is the correct answer for this question.

Flashcards: Apply Intermediate Value Theorem

Using Intermediate Value Theorem to analyze a continuous function, what can be deduced if a polynomial changes signs within an interval?

The function is not differentiable within that interval

There is a zero between the endpoints of that interval

There is a local maximum between the endpoints of that interval

The function is not continuous within that interval

Report an Error Copyright Notice

Flashcards: Apply Intermediate Value Theorem

Using Intermediate Value Theorem to analyze a continuous function, what can be deduced if a polynomial changes signs within an interval?

Your answer:

The function is not differentiable within that interval

Your answer:

There is a local maximum between the endpoints of that interval

Your answer:

The function is not continuous within that interval

Correct answer:

There is a zero between the endpoints of that interval

Explanation:

Intermediate Value Theorem is only true with continuous, differentiable functions, thus eliminating the answer choices “The function is not continuous within that interval” and “The function is not differentiable within that interval.” There is not necessarily a local maximum or minimum contained in the interval either. That leaves the correct answer choice, “There is a zero between the endpoints of that interval.” If the polynomial is changing signs and meets the requirements for Intermediate Value Theorem, it must cross the axis at some point within the interval.

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

View Tutors

Charity
Certified Tutor

Grand Canyon University, Bachelor of Science, Psychology. Grand Canyon University, Master of Science, Elementary School Teach...

View Tutors

Matthew
Certified Tutor

University of Pennsylvania, Bachelor, Cinema Studies.

View Tutors

Laurie
Certified Tutor

Wayne State University, Master of Science, Social Work.

Popular Subjects

Reading Tutors in Chicago, Physics Tutors in San Diego, Computer Science Tutors in Philadelphia, French Tutors in San Francisco-Bay Area, Statistics Tutors in Boston, ACT Tutors in Philadelphia, GRE Tutors in Seattle, GMAT Tutors in Chicago, English Tutors in Washington DC, MCAT Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, GRE Courses & Classes in Phoenix, Spanish Courses & Classes in Houston, LSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Miami, GMAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Miami, MCAT Courses & Classes in Denver, GRE Courses & Classes in Washington DC, GMAT Courses & Classes in Philadelphia

Popular Test Prep

GRE Test Prep in Philadelphia, ISEE Test Prep in Atlanta, SAT Test Prep in Denver, ACT Test Prep in Philadelphia, ACT Test Prep in Phoenix, GRE Test Prep in Atlanta, GRE Test Prep in Denver, SAT Test Prep in San Diego, ISEE Test Prep in Miami, LSAT Test Prep in Chicago

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

All Calculus AB Resources

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback:

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores and create your own practice tests:

All Calculus AB Resources

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Flashcards: Apply Intermediate Value Theorem

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Create an account to track your scores
and create your own practice tests: