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's Domain: CCSS.Math.Content.HSF-IF.B.5

A vehicle increases its speed by

miles per hour every five minutes for two hours resulting in a maximum speed of 95 miles per hour. If f(x)

represents this function, what is the domain of

$\textup{Domain: }[5,120]$

$\textup{Domain: }[0,120]$

$\textup{Domain: }[0,24]$

$\textup{Domain: }[5,95]$

$\textup{Domain: }[2,24]$

Report an Error Copyright Notice

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

A vehicle increases its speed by

miles per hour every five minutes for two hours resulting in a maximum speed of 95 miles per hour. If f(x)

represents this function, what is the domain of

Your answer:

$\textup{Domain: }[5,120]$

Your answer:

$\textup{Domain: }[0,120]$

Your answer:

$\textup{Domain: }[5,95]$

Your answer:

$\textup{Domain: }[2,24]$

Correct answer:

$\textup{Domain: }[0,24]$

Explanation:

This particular question is testings one's ability to recognize characteristics of a function in terms of its context. Specifically, it is testing the ability to identify the domain of a function, or in other words, the possible input values that logically and mathematically work for the situation that is described by f(x)

For the purpose of Common Core Standards, "relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes" falls within the Cluster B of "interpret functions that arise in applications in terms of the context" concept (CCSS.MATH.CONTENT.HSF-IF.B.5).

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 the question is asking for.

This question is asking to find the domain, possible x values that make sense for this situation

Step 2: Use the information that describes f(x)

and create a graph that could possibly fit.

Let us identify the known information of the function.

is in intervals of "miles per every five minutes" and goes from zero to two hours. Therefore to find the units that the

-axis will have, convert two hours into minutes and then into intervals of five minutes.

$2\textup{ hours}\times\frac{60\textup{ minutes}}{1\textup{ hour}}=\frac{120\textup{minutes}}{1}$

$120\textup{ minutes}\times \frac{1\textup{ unit interval}}{5\textup{ minutes}}=24\textup{ unit interval}$

The maximum speed is 95 miles per hour. Therefore, the

-axis spans from zero to 95.

At some value

the function reaches a maximum value of,

Since the question states, "A vehicle increases its speed by

miles per hour every five minutes for two hours", a linear relationship being time and speed is assumed.

Using the known information creates the graph below.

Step 3: Using the graph above, identify the domain.

Recalling that the domain of a function is the interval of

values that result in a real output that lies in the range of the function. In the above graph the red line indicates the domain of the function. In mathematical terms,

$\textup{Domain: }[0,24]$ .

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

A vehicle starts to increase its speed after 25 minutes at a rate of miles per hour every five minutes for 125 minutes resulting in a maximum speed of 35 miles per hour. If f(x) represents this function, what is the domain of ?

$\textup{Domain: }[0,25]$

$\textup{Domain: }[5,30]$

$\textup{Domain: }[5,15]$

$\textup{Domain: }[10,25]$

$\textup{Domain: }[5,25]$

Report an Error Copyright Notice

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

Your answer:

$\textup{Domain: }[0,25]$

Your answer:

$\textup{Domain: }[5,30]$

Your answer:

$\textup{Domain: }[5,15]$

Your answer:

$\textup{Domain: }[10,25]$

Correct answer:

$\textup{Domain: }[5,25]$

Explanation:

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 the question is asking for.

This question is asking to find the domain, possible x values that make sense for this situation

Step 2: Use the information that describes f(x)

and create a graph that could possibly fit.

Let us identify the known information of the function.

is in intervals of "miles per every five minutes" and goes from zero to 125 minutes. Therefore to find the units that the

-axis will have, convert 125 minutes into intervals of five minutes.

$125\text{ minutes}\times\frac{1 \text{interval}}{5\text{minutes}}=25\text{ intervals}$

Since the question states, "A vehicle starts to increase its speed after 25 minutes at a rate of

miles per hour every five minutes for 125 minutes", a linear relationship being time and speed is assumed.

Using the known information creates the graph below.

Step 3: Using the graph above, identify the domain.

Recalling that the domain of a function is the interval of

values that result in a real output that lies in the range of the function. In mathematical terms,

$\textup{Domain: }[5,25]$ .

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

Adam
Certified Tutor

Michigan State University, Bachelor, Chemistry. Michigan State University, Doctorate (PhD), Chemistry.

View Tutors

Kirby
Certified Tutor

University of Michigan-Ann Arbor, Bachelor of Science, Biochemistry.

View Tutors

Violili
Certified Tutor

Havana University, Bachelor in Arts, Linguistics.

Popular Subjects

Algebra Tutors in Philadelphia, French Tutors in Atlanta, Algebra Tutors in New York City, Spanish Tutors in Dallas Fort Worth, MCAT Tutors in Phoenix, Computer Science Tutors in Seattle, GMAT Tutors in Washington DC, Spanish Tutors in Miami, ISEE Tutors in Miami, Math Tutors in Boston

Popular Courses & Classes

MCAT Courses & Classes in Houston, ACT Courses & Classes in Chicago, SAT Courses & Classes in Phoenix, Spanish Courses & Classes in Houston, SSAT Courses & Classes in Washington DC, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Miami, GMAT Courses & Classes in Washington DC, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Denver

Popular Test Prep

SAT Test Prep in Atlanta, ACT Test Prep in New York City, SSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Seattle, SAT Test Prep in Denver, MCAT Test Prep in Miami, LSAT Test Prep in Seattle, SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Phoenix, SAT Test Prep in Phoenix

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's Domain: CCSS.Math.Content.HSF-IF.B.5

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

Flashcards: Graph's Domain: CCSS.Math.Content.HSF-IF.B.5

Report an issue with this question