We are open Saturday and Sunday!

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 Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

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

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Which graph represents the the inverse of the following function?

Screen shot 2016 01 19 at 11.41.22 am

Screen shot 2016 01 19 at 11.41.42 am

Screen shot 2016 01 19 at 11.38.35 am

Screen shot 2016 01 19 at 11.41.22 am

Screen shot 2016 01 19 at 11.38.20 am

Screen shot 2016 01 14 at 6.40.16 am

Report an Error Copyright Notice

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Which graph represents the the inverse of the following function?

Screen shot 2016 01 19 at 11.41.22 am

Your answer:

Screen shot 2016 01 19 at 11.38.35 am

Your answer:

Screen shot 2016 01 19 at 11.41.22 am

Your answer:

Screen shot 2016 01 19 at 11.38.20 am

Your answer:

Screen shot 2016 01 14 at 6.40.16 am

Correct answer:

Screen shot 2016 01 19 at 11.41.42 am

Explanation:

This question is testing ones ability to recognize and construct a function's inverse from its graph.

For the purpose of Common Core Standards, "Read values of an inverse function from a graph or a table, given that the function has an inverse." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.4c). It is important to note that this standard is not directly tested on but is used for building a deeper understanding on inverses and their functions.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what it means to be an inverse.

An inverse function is found algebraically as follows.

$y=x+c\Rightarrow x=y+c$

Now solve for the variable in the new (inverse) function.

$\\x=y+c \\x-c=y \\y^{-1}=x-c$

Graphically, the inverse is the mirror image reflected over the line of symmetry. In other words, the coordinate pair components are switched.

Step 2: Construct coordinate pairs of the given graph.

Looking at the graph above, the following table of coordinate pairs can be constructed.

$\begin{tabular}{ |c|c| } \hline x & y \\ \hline -4 & 0 \\ -3&1\\ -2&2\\ -1&3\\ 0& 4 \\ 4&8\\ \hline \end{tabular}$

Step 3: Swap the points with the points to create the coordinate pairs of the inverse graph.

$\begin{tabular}{ |c|c| } \hline x & y \\ \hline 0&-4 \\ 1&-3\\ 2&-2\\ 3&-1\\4&0 \\ 8&4\\ \hline \end{tabular}$

Step 4: Graph the inverse function.

Screen shot 2016 01 19 at 11.41.42 am

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Which graph represents the the inverse of the following function?

Y x 2

Screen shot 2016 01 19 at 11.41.22 am

Screen shot 2016 01 19 at 11.38.35 am

Y x 2

Screen shot 2016 01 19 at 11.41.42 am

Report an Error Copyright Notice

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Which graph represents the the inverse of the following function?

Y x 2

Your answer:

Screen shot 2016 01 19 at 11.41.22 am

Your answer:

Screen shot 2016 01 19 at 11.38.35 am

Your answer:

Y x 2

Your answer:

Screen shot 2016 01 19 at 11.41.42 am

Correct answer:

Y x 2

Explanation:

This question is testing ones ability to recognize and construct a function's inverse from its graph.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify what it means to be an inverse.

An inverse function is found algebraically as follows.

$y=x+c\Rightarrow x=y+c$

Now solve for the variable in the new (inverse) function.

$\\x=y+c \\x-c=y \\y^{-1}=x-c$

Graphically, the inverse is the mirror image reflected over the line of symmetry. In other words, the coordinate pair components are switched.

Y x 2

Step 2: Construct coordinate pairs of the given graph.

Looking at the graph above, the following table of coordinate pairs can be constructed.

$\begin{tabular}{ |c|c| } \hline x & y \\ \hline 0 & -2 \\ 1&-1\\ 2&0\\ 3&1\\ 4& 2 \\ 5&3\\ \hline \end{tabular}$

Step 3: Swap the points with the points to create the coordinate pairs of the inverse graph.

$\begin{tabular}{ |c|c| } \hline x & y \\ \hline -2&0 \\ -1&1\\ 0&2\\ 1&3\\2&4 \\ 3&5\\ \hline \end{tabular}$

Step 4: Graph the inverse function.

Y x 2

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

Teresa
Certified Tutor

Great Basin College, Bachelor in Arts, Social Science Teacher Education. American College of Education, Masters in Education,...

View Tutors

Melanie
Certified Tutor

University of Ottawa, Bachelor of Science, Biology, General.

View Tutors

Toni
Certified Tutor

University of West Georgia, Bachelor of Science, Early Childhood Education. Walden University, Doctor of Science, Urban Educa...

Popular Subjects

Calculus Tutors in Denver, LSAT Tutors in Philadelphia, SAT Tutors in Atlanta, MCAT Tutors in Seattle, Algebra Tutors in Dallas Fort Worth, ACT Tutors in New York City, LSAT Tutors in Phoenix, Math Tutors in Boston, French Tutors in San Francisco-Bay Area, Biology Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Los Angeles, ACT Courses & Classes in Houston, SAT Courses & Classes in Seattle, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Seattle, ISEE Courses & Classes in New York City, SSAT Courses & Classes in San Diego, Spanish Courses & Classes in Chicago, MCAT Courses & Classes in Chicago

Popular Test Prep

LSAT Test Prep in Los Angeles, LSAT Test Prep in Chicago, GRE Test Prep in New York City, LSAT Test Prep in Atlanta, MCAT Test Prep in Denver, SSAT Test Prep in Chicago, LSAT Test Prep in Boston, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Chicago, SAT Test Prep in Miami

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 Common Core: High School - Functions Resources

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Flashcards: Identifying Function by Reading Inverse Graph: CCSS.Math.Content.HSF-BF.B.4c

Report an issue with this question