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: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Graph the following function

$f(x)=\sqrt{x+4}$

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 12 at 3.00.23 pm

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 13 at 9.26.23 am

Report an Error Copyright Notice

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Graph the following function

$f(x)=\sqrt{x+4}$

Your answer:

Screen shot 2016 01 13 at 9.26.38 am

Your answer:

Screen shot 2016 01 13 at 9.25.36 am

Your answer:

Screen shot 2016 01 13 at 9.26.03 am

Your answer:

Screen shot 2016 01 13 at 9.26.23 am

Correct answer:

Screen shot 2016 01 12 at 3.00.23 pm

Explanation:

This question tests one's ability to graph a square root function.

For the purpose of Common Core Standards, "graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions" falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7).

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: Make a table of (x,y) coordinates for the function.

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

The values in the table are found by substituting in the x values into the function as follows.

$\\f(-4)=\sqrt{-4+4}=\sqrt{0}=0 \\f(0)=\sqrt{0+4}=\sqrt{4}=2 \\f(5)=\sqrt{5+4}=\sqrt{9}=3$

Step 2: Plot the points on a coordinate grid

Screen shot 2016 01 13 at 9.20.36 am

Step 3: Connect the points with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values less than negative four will be in the domain.

Screen shot 2016 01 12 at 3.00.23 pm

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Graph the following function.

$f(x)=\sqrt{-x+2}$

Screen shot 2016 01 23 at 8.33.58 am

Screen shot 2016 01 13 at 9.26.38 am

Screen shot 2016 01 13 at 9.26.03 am

Screen shot 2016 01 13 at 9.25.36 am

Screen shot 2016 01 12 at 3.00.23 pm

Report an Error Copyright Notice

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Graph the following function.

$f(x)=\sqrt{-x+2}$

Your answer:

Screen shot 2016 01 13 at 9.26.38 am

Your answer:

Screen shot 2016 01 13 at 9.26.03 am

Your answer:

Screen shot 2016 01 13 at 9.25.36 am

Your answer:

Screen shot 2016 01 12 at 3.00.23 pm

Correct answer:

Screen shot 2016 01 23 at 8.33.58 am

Explanation:

This question tests one's ability to graph a square root function.

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: Make a table of (x,y) coordinates for the function.

$\begin{tabular}{ |c|c|c|c| } \hline x & f(x) & y \\ \hline 2& f(2) & 0 \\ -2 & f(-2) & 2 \\ -7&f(-7)& 3\\ \hline \end{tabular}$

The values in the table are found by substituting in the x values into the function as follows.

$\\f(2)=\sqrt{-2+2}=\sqrt{0}=0 \\f(-2)=\sqrt{--2+2}=\sqrt{4}=2 \\f(-7)=\sqrt{--7+2}=\sqrt{9}=3$

Step 2: Plot the points on a coordinate grid

Screen shot 2016 01 23 at 8.48.27 am

Step 3: Connect the points with a smooth curve.

Recall that a square root function cannot have negative values under the radical therefore, no x values more than two will be in the domain.

Screen shot 2016 01 23 at 8.33.58 am

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

Olga
Certified Tutor

Florida Atlantic University, Bachelor of Science, Biology, General.

View Tutors

Ashley
Certified Tutor

Savannah College of Art and Design, Bachelor in Arts, Photography.

View Tutors

Safia
Certified Tutor

University of Toronto, Bachelor in Arts, English.

Popular Subjects

SSAT Tutors in New York City, SSAT Tutors in Philadelphia, LSAT Tutors in San Diego, Reading Tutors in San Diego, SAT Tutors in Dallas Fort Worth, Physics Tutors in Houston, MCAT Tutors in San Francisco-Bay Area, LSAT Tutors in Phoenix, Statistics Tutors in Phoenix, GMAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

LSAT Courses & Classes in Phoenix, GMAT Courses & Classes in Chicago, GRE Courses & Classes in New York City, GRE Courses & Classes in Chicago, MCAT Courses & Classes in Houston, GMAT Courses & Classes in New York City, SSAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Chicago, SSAT Courses & Classes in Phoenix, GRE Courses & Classes in Miami

Popular Test Prep

GMAT Test Prep in Phoenix, SAT Test Prep in Chicago, SAT Test Prep in Los Angeles, LSAT Test Prep in San Diego, ISEE Test Prep in Boston, SAT Test Prep in Miami, GRE Test Prep in Chicago, GRE Test Prep in New York City, SSAT Test Prep in Chicago, ACT 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: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Flashcards: Graph Square Root, Cube Root, and Piecewise Functions: CCSS.Math.Content.HSF-IF.C.7b

Report an issue with this question