Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Functions and Graphs

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #232 : Sat Subject Test In Math Ii

Define $g(x)=5- \log _{4}\left ( x+5 \right )$ .

Give the -coordinate of the -intercept of the graph of .

Possible Answers:

12,495

The graph of has no -intercept.

620

1,019

49,995

Correct answer:

1,019

Explanation:

Set g(x) = 0 and solve for :

$5- \log _{4}\left ( x+5 \right ) = 0$

$\log _{4}\left ( x+5 \right ) = 5$

$x+5 = 4^{5}$

x+5 = 1,024

x=1,019

Report an Error

Example Question #231 : Sat Subject Test In Math Ii

Define $g(x) = 3 + \sqrt[4]{3x-5}$ .

Give the -coordinate of the -intercept of the graph of .

Possible Answers:

$25\frac{1}{3}$

$-25\frac{1}{3}$

The graph of has no -intercept.

$-28\frac{2}{3}$

$28\frac{2}{3}$

Correct answer:

The graph of has no -intercept.

Explanation:

Set g(x) = 0 and solve for :

$3 + \sqrt[4]{3x-5} = 0$

$\sqrt[4]{3x-5} = -3$

This equation has no solution, since a principal even root of a real number must be positive.

The graph of has no -intercept.

Report an Error

Example Question #12 : X Intercept And Y Intercept

Define $f(x) = 4 + \sqrt[5]{2x-9}$

Give the -coordinate of the -intercept of the graph of (nearest hundredth).

Possible Answers:

$516\frac{1}{2}$

$507\frac{1}{2}$

The graph of has no -intercept.

$-516\frac{1}{2}$

$-507\frac{1}{2}$

Correct answer:

$-507\frac{1}{2}$

Explanation:

Set f(x) = 0 and solve for :

$4 + \sqrt[5]{2x-9} = 0$

$\sqrt[5]{2x-9} = -4$

$\left (\sqrt[5]{2x-9} \right ) ^{5}= \left (-4 \right ) ^{5}$

2x-9 = -1,024

2x= -1,015

$x=-507\frac{1}{2}$

Report an Error

Example Question #13 : X Intercept And Y Intercept

Define $f(x) = 2 \cdot 3^{x-4}- 7$

Give the -coordinate of the -intercept of the graph of (nearest hundredth).

Possible Answers:

-5.14

-7.02

-6.98

-4.42

The graph of has no -intercept.

Correct answer:

-6.98

Explanation:

Evaluate f(0) :

$f(x) = 2 \cdot 3^{x-4}- 7$

$f(0) = 2 \cdot 3^{0-4}- 7$

$= 2 \cdot 3^{-4}- 7$

$= 2 \cdot \frac{1}{81}- 7$

$= \frac{2}{81}- 7$

$=-6 \frac{79}{81} \approx -6.98$

Report an Error

Example Question #21 : Functions And Graphs

Find the intercept of the function.

36x^2+16y^2=72

Possible Answers:

$x=\pm \sqrt{2}$

$x=\pm 2$

$x=\pm0.5$

x=2

$x=\pm \sqrt{0.5}$

Correct answer:

$x=\pm \sqrt{2}$

Explanation:

The function will cross the x axis when the y coordinate is equal to zero. To find the x intercept plug in the value zero for y and then solve the equation for x. This will be the x coordinate where the function crosses the x-axis, or the x intercept.

36x^2+16y^2=72

36x^2+16(0)^2=72

36x^2=72

x^2=2

$x=\pm \sqrt{2}$

Report an Error

Example Question #11 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

y=2x+6

Possible Answers:

y=-3

y=6

x=-3

x=2

Correct answer:

x=-3

Explanation:

In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:

$y=2x+6\rightarrow 0=2x+6$

Subtract 2x from both sides, then divide by -2 to get x by itself:

$\frac{-2x}{-2}=\frac{6}{-2}$

This gives a final answer of x=-3

Report an Error

Example Question #12 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

2x+y=12

Possible Answers:

y=12

x=12

y=6

x=6

Correct answer:

x=6

Explanation:

In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:

$2x+y=12\rightarrow 2x+0=12$

Divide by 2 to get x by itself:

$\frac{2x}{2}=\frac{12}{2}$

This gives a final answer of x=6

Report an Error

Example Question #13 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

y=4x-16

Possible Answers:

x=-4

y=-16

y=4

x=4

Correct answer:

x=4

Explanation:

In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:

$y=4x-16\rightarrow 0=4x-16$

Subtract 4x from both sides, then divide by -4 to get x by itself:

$\frac{-4x}{-4}=\frac{-16}{-4}$

This gives a final answer of x=4

Report an Error

Example Question #14 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

2y+6x=5

Possible Answers:

x=3

$x=\frac{6}{5}$

$x=\frac{5}{6}$

y=3

Correct answer:

$x=\frac{5}{6}$

Explanation:

In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:

$2y+6x=5\rightarrow 0+6x=5$

Divide by 6 to get x by itself:

$\frac{6x}{6}=\frac{5}{6}$

This gives a final answer of x=5/6

Report an Error

Example Question #15 : X Intercept And Y Intercept

Find the y-intercept of the following equation:

2x+6y=15

Possible Answers:

x=6

$y=\frac{15}{6}$

x=5

$x=\frac{15}{6}$ y=3

Correct answer:

$y=\frac{15}{6}$

Explanation:

In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:

$2x+6y=15\rightarrow 0+6y=15$

Divide both sides by 6 to get y by itself:

$\frac{6y}{6}=\frac{15}{6}$

This gives a final answer of y=15/6

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Shakeel
Certified Tutor

View SAT Subject Test in Mathematics Level 2 Tutors

Samarth
Certified Tutor

Maharaja Sayajirao University of Baroda, Bachelor of Engineering, Mechanical Engineering. Concordia University-Seward, Master...

View SAT Subject Test in Mathematics Level 2 Tutors

Kevin
Certified Tutor

Duke University, Bachelor of Science, Economics.

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in San Diego, English Tutors in Denver, LSAT Tutors in Atlanta, GRE Tutors in Denver, Chemistry Tutors in New York City, ACT Tutors in Miami, Chemistry Tutors in Houston, Algebra Tutors in Miami, Biology Tutors in Los Angeles, French Tutors in Washington DC

Popular Courses & Classes

LSAT Courses & Classes in New York City, ISEE Courses & Classes in Chicago, ACT Courses & Classes in Atlanta, MCAT Courses & Classes in Miami, Spanish Courses & Classes in Houston, LSAT Courses & Classes in Houston, Spanish Courses & Classes in New York City, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in San Diego, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

GMAT Test Prep in Miami, SSAT Test Prep in New York City, SSAT Test Prep in Houston, MCAT Test Prep in San Diego, GRE Test Prep in Miami, GMAT Test Prep in New York City, SAT Test Prep in Chicago, GMAT Test Prep in San Diego, ISEE Test Prep in Philadelphia, GRE Test Prep in Los Angeles

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

SAT II Math II : Functions and Graphs

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #232 : Sat Subject Test In Math Ii

Example Question #231 : Sat Subject Test In Math Ii

Example Question #12 : X Intercept And Y Intercept

Example Question #13 : X Intercept And Y Intercept

Example Question #21 : Functions And Graphs

Example Question #11 : X Intercept And Y Intercept

Example Question #12 : X Intercept And Y Intercept

Example Question #13 : X Intercept And Y Intercept

Example Question #14 : X Intercept And Y Intercept

Example Question #15 : X Intercept And Y Intercept

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: