Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3375 : Algebra 1

$\textup{If }f(p)= p^{3}-3p,\;\textup{what is the value of }f(5)\textup{?}$

Possible Answers:

110

140

107

Correct answer:

110

Explanation:

$\textup{Just plug in 5 every time you see }p\textup{ in the equation and solve:}$

$\left ( 5\right )^{3}-3\left ( 5\right )=125-15=110$

Report an Error

Example Question #3376 : Algebra 1

$\textup{If }f\left(x\right )=\frac{3x^{2}-2x}{x}\textup{ , what is the value of}f\left ( 4\right )\textup{?}$

Possible Answers:

Correct answer:

Explanation:

$\textup{Plug in 4 every time you see an }x\textup{ in the given equation and solve:}$

$f\left ( 4\right )=\frac{3\left ( 4\right )^{2}-2\left ( 4\right )}{4}\;\;=\frac{48-8}{4}=10$

Report an Error

Example Question #43 : How To Find F(X)

$\small f(x)=2x+17$ .

Find $\small f(-3)$ .

Possible Answers:

$\small 11$

$\small 34$

$\small 23$

$\small 16$

Correct answer:

$\small 11$

Explanation:

Finding $\small f(-3)$ means plugging in $\small -3$ in place of x into the function $\small f(x)$ . In this case, we are told that $\small f(x)=2x+17$ , so we are multiplying $\small -3$ by 2 and then adding 17:

$\small \small f(-3)=2(-3)+17$ order of opperations tells us to first multiply:

$\small f(-3)=-6+17$ and now add:

$\small f(-3)= 11$

Report an Error

Example Question #44 : How To Find F(X)

$\small f(x)=(2x)^2$ .

Evaluate $\small f(5)$ .

Possible Answers:

$\small 25$

$\small 50$

$\small 100$

Correct answer:

$\small 100$

Explanation:

Evaluating f(5) means plugging 5 in for x in the function $\small f(x)$ . In this case, we are told that $\small f(x)=(2x)^2$ , so that is what we will do to 5 - multiply by 2, then square the product:

$\small f(5)=(2*5)^2$ order of opperations [PEMDAS] tells us that first we will be doing what is in the parentheses, so we will multiply first:

$\small f(5)=10^2$ now we can square 10 for the final answer:

$\small f(5)=100$

Report an Error

Example Question #45 : How To Find F(X)

$\small k(x)=3x^2 - 10$ .

Find $\small k(2)$ .

Possible Answers:

$\small 26$

$\small -1$

$\small 2$

Correct answer:

$\small 2$

Explanation:

Evaluating $\small k(2)$ means plugging in 2 for x in the function $\small k(x)$ . In this case we are told that $\small k(x)=3x^2 - 10$ , so that is what we'll do with 2:

$\small \small \small k(2)=3*2^2 - 10$ Order of opperations [PEMDAS] tells us to do parentheses first, but no opperations are taking place in parentheses. Next we will do exponents:

$\small k(2)=3*4 -10$ The next step in order of opperations is multiplication, so we will next multiply 3 and 4:

$\small k(2)=12-10$ finally we will subtract:

$\small k(2)=2$

Report an Error

Example Question #41 : Algebraic Functions

If f(x) is the reciprocal of the following function what is f(x) ?

$\frac{x^3}{y-x}$

Possible Answers:

$\frac{-x^3}{y+x}$

$\frac{y-x}{x^3}$

$\frac{x^2}{y-1}$

$\frac{x}{(y-x)^3}$

x^3(y-x)

Correct answer:

$\frac{y-x}{x^3}$

Explanation:

The question is asking for the reciprocal.

The reciprocal can be found by flipping the numerator and the denominator, effectively dividing 1 by the number.

$\frac{x^3}{y-x}$ becomes $\frac{y-x}{x^3}$ .

*Always remember what the question is asking.

Report an Error

Example Question #1 : Understand Functions: Ccss.Math.Content.8.F.A.1

$f(x) = \frac{x^{4}-x+\sqrt[3]{x}}{x^{x}+3x}$

Find f(1) .

Possible Answers:

$\frac{1}{3}$

Undefined

$\frac{1}{4}$

Correct answer:

$\frac{1}{4}$

Explanation:

This question demonstrates that complicated functions are not complicated at every point.

To solve the function at x=1, all that is necessary is familiarity with the operations used.

$f(1) = \frac{1^{4}-1+\sqrt[3]{1}}{1^{1}+3(1)}$

$= \frac{1-1+1}{1+3}$

$=\frac{1}{4}$

Report an Error

Example Question #44 : How To Find F(X)

Given a function $f(x)=3x^{2}+8x+2$ , what is f(4) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=3x^{2}+8x+2$ , we can plug in x=4 to get

$\\f(4)=3(4)^{2}+8(4)+2\\f(4)=3(16)+32+2\\f(4)=48+32+2\\f(4)=48+34\\f(4)=82$

Report an Error

Example Question #44 : How To Find F(X)

Given a function $f(x)=5x-x^{2}+7$ , what is f(-2) ?

Possible Answers:

Correct answer:

Explanation:

Given a function $f(x)=5x-x^{2}+7$ , we can plug in x=-2 to get

$\\f(-2)=5(-2)-(-2)^{2}+7\\=-10-4+7\\=-14+7\\=-7$ .

Report an Error

Example Question #45 : How To Find F(X)

Given a function $f(x)=\frac{1}{2}x^{2}+7x-3$ , what is f(5) ?

Possible Answers:

$-\frac{2}{89}$

$\frac{2}{89}$

None of the above

$-\frac{89}{2}$

$\frac{89}{2}$

Correct answer:

$\frac{89}{2}$

Explanation:

Given a function $f(x)=\frac{1}{2}x^{2}+7x-3$ , we can plug in x=5 to get

$\\f(5)=\frac{1}{2}(5)^{2}+7(5)-3\\ \\=\frac{25}{2}+35-3\\ \\=\frac{25}{2}+32\\ \\=\frac{25}{2}+\frac{64}{2}\\ \\=\frac{89}{2}$

Report an Error

View Algebra Tutors

Morgan
Certified Tutor

Catholic University of America, Bachelor of Science, International Finance.

View Algebra Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

View Algebra Tutors

Travis
Certified Tutor

Delaware State University, Bachelor of Science, Mathematics.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Dallas Fort Worth, GRE Tutors in Phoenix, Spanish Tutors in Atlanta, French Tutors in Miami, French Tutors in Denver, ISEE Tutors in Boston, English Tutors in Philadelphia, Reading Tutors in Miami, Reading Tutors in San Diego, French Tutors in Atlanta

Popular Courses & Classes

SSAT Courses & Classes in Philadelphia, ACT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in New York City, SAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle, SAT Courses & Classes in Chicago, ISEE Courses & Classes in Miami, GMAT Courses & Classes in Houston, ISEE Courses & Classes in Chicago, Spanish Courses & Classes in Denver

Popular Test Prep

ACT Test Prep in New York City, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in Los Angeles, SSAT Test Prep in Philadelphia, SSAT Test Prep in San Diego, GRE Test Prep in Atlanta, SAT Test Prep in Houston, MCAT Test Prep in Seattle, SAT Test Prep in Phoenix, ACT Test Prep in Houston

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra 1 : Algebraic Functions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3375 : Algebra 1

Example Question #3376 : Algebra 1

Example Question #43 : How To Find F(X)

Example Question #44 : How To Find F(X)

Example Question #45 : How To Find F(X)

Example Question #41 : Algebraic Functions

Example Question #1 : Understand Functions: Ccss.Math.Content.8.F.A.1

Example Question #44 : How To Find F(X)

Example Question #44 : How To Find F(X)

Example Question #45 : How To Find F(X)

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: