We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #5 : Function Notation

Find f(3) for the following function:

$f(x)=\frac{4x+3}{x^2}$

Possible Answers:

$\frac{5}{3}$

$\frac{12x+9}{x^2}$

Correct answer:

$\frac{5}{3}$

Explanation:

To evaluate f(3) , we just plug in a wherever we see an in the function, so our equation becomes

$f(3)=\frac{3\cdot 4+3}{3^2}$

which is equal to

$f(3)=\frac{5}{3}$

Report an Error

Example Question #7 : Function Notation

Find f(g+h) for the following function:

f(x)=cos(5x^2)e^x

Possible Answers:

$cos(5g^2)e^{g}+cos(5h^2)e^{h}$

$cos(5g^2e^{g})+cos(5h^2e^{h})$

$cos(5g^2+5h^2)e^{g+h}$

$cos(5g^2+10gh+5h^2)e^{g+h}$

$cos(5g^2+10gh+5h^2)e^{g}+e^h$

Correct answer:

$cos(5g^2+10gh+5h^2)e^{g+h}$

Explanation:

To find f(g+h) , all we do is plug in (g+h) wherever we see an in the function. We have to be sure we keep the parentheses. In this case, when we plug in (g+h) , we get

$cos(5(g+h)^2)e^{g+h}$

Then, when we expand our binomial squared and distribute the , we get

$cos(5g^2+10gh+5h^2)e^{g+h}$

Report an Error

Example Question #3 : Function Notation

If f(x)=g(x)-3 , and $g(x)=x^{2} -1$ , for which of the following value(s) will f(x) be an odd number?

Possible Answers:

Correct answer:

Explanation:

First, x needs to be plugged into g(x).

Then, the resulting solution needs to be substituted into f(x).

For example,

g(7) = 49-1 = 48 .

f(7) = g(7)-3 = 48-3 = 45

Since 45 is an odd number, 7 is an x value that gives this result. Because both equations subtract an odd number to get the final result, only an odd number will result in an odd result therefore, none of the other options will give an odd result.

Report an Error

Example Question #661 : Algebra Ii

Given $f(x) = -2x^{2} - 3x +5$ , find f(a+h) - f(a) .

Possible Answers:

$4ah+2h^{2} -3h$

f(a+h) -f(a)

$-2h^{2} - 4ah -3h$

$2a^{2}+3a-5$

$-2a^{2}-4ah-2h^{2} -3a -3h +5$

Correct answer:

$-2h^{2} - 4ah -3h$

Explanation:

Plug in a for x:

$f(a)=-(-2a^{2}-3a+5) = 2a^2+3a-5$

Next plug in (a + h) for x:

$f(a+h) = -2(a+h)^2-3(a+h)+5 = -2a^{2} - 4ah - 2h^{2} -3a - 3h +5$

Therefore f(a+h) - f(a) = $-2h^{2} - 4ah - 3h$ .

Report an Error

Example Question #661 : Algebra Ii

Solve for f(3) when $f(x)= \frac{x^{2}+12x}{3x}$ .

Possible Answers:

f(3)=5

f(3)=9

Does not exist

f(3)=3

f(3)=16

Correct answer:

f(3)=5

Explanation:

Plug 3 in for x:

$f(3)=\frac{(3^{2})+12*3}{3*3}$

Simplify:

= $\frac{9+36}{9}$

= 5

Report an Error

Example Question #3374 : Algebra 1

What is f(7) of the following equation?

$f(x)=x^{2}+15x+35$

Possible Answers:

187

190

188

189

Correct answer:

189

Explanation:

To complete an equation with a function, plug the number inside the parentheses into the equation for and solve algebraically.

In this case the $f(7)=7^{2}+(15*7)+35$

Square the 7 and multiply to get f(7)=49+105+35

Add the numbers to get the answer f(7)=189 .

Report an Error

Example Question #41 : Algebraic Functions

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

Possible Answers:

110

107

140

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 #42 : How To Find F(X)

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

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 #13 : Function Notation

f(x)=x+6

If f(x)=10 , find .

Possible Answers:

$\small 10$

$\small 4$

$\small -10$

$\small -4$

$\small 16$

Correct answer:

$\small 4$

Explanation:

If f(x)=10 then f(x) can be rewritten as f(x)=10=x+6 . Therefore, 10=x+6 . Subtracting from both sides of the eqauation gives x=4 .

Report an Error

Example Question #661 : Algebra Ii

Evaluate the function for f(-10) .

f(x)=x^2+8x-x+2

Possible Answers:

$\small 0$

Correct answer:

Explanation:

To solve for the value of the function at f(x)=-10 , simply plug in the value in place of every . By doing this, you will be left with the equation: f(-10)=(-10)^2+8(10)-(10)+2=32 .

Another way to go about the problem is first simplifying the expression so that like terms are collected, so f(x)=x^2+7x+2 . Then to find f(x)=-10 , simply plug in the value in place of every . By doing this, you will be left with the equation: f(-10)=(-10)^2+7(10)+2=32 .

Report an Error

View Algebra 2 Tutors

Sharif
Certified Tutor

NCCU, Bachelors, Physics and Mathematics.

View Algebra 2 Tutors

Abe
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Accounting and Business Management. CUNY Graduate School and University Center, M...

View Algebra 2 Tutors

Benjamin
Certified Tutor

Portland State University, Bachelor of Science, Computer Science.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Washington DC, SAT Tutors in Los Angeles, French Tutors in Los Angeles, LSAT Tutors in Seattle, ISEE Tutors in New York City, Statistics Tutors in Denver, French Tutors in Chicago, Computer Science Tutors in Miami, ACT Tutors in Washington DC, Chemistry Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Atlanta, SSAT Courses & Classes in Phoenix, GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Chicago, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Philadelphia, SAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Miami, MCAT Courses & Classes in Washington DC

Popular Test Prep

ISEE Test Prep in Dallas Fort Worth, ISEE Test Prep in Chicago, LSAT Test Prep in Chicago, SAT Test Prep in Dallas Fort Worth, GRE Test Prep in Philadelphia, SSAT Test Prep in Houston, SSAT Test Prep in Denver, GMAT Test Prep in San Diego, MCAT Test Prep in San Diego, SAT Test Prep in Phoenix

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 II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #5 : Function Notation

Example Question #7 : Function Notation

Example Question #3 : Function Notation

Example Question #661 : Algebra Ii

Example Question #661 : Algebra Ii

Example Question #3374 : Algebra 1

Example Question #41 : Algebraic Functions

Example Question #42 : How To Find F(X)

Example Question #13 : Function Notation

Example Question #661 : Algebra Ii

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: