We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Precalculus : Graphing Functions

Study concepts, example questions & explanations for Precalculus

Create An Account

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Graphing Functions

Information about the Hardy Weinberg equation: http://www.nature.com/scitable/definition/hardy-weinberg-equation-299

The Hardy Weinberg equation is a very important concept in population genetics. Suppose we have two "alleles" for a specific trait (like eye color, gender, etc..) The proportion for which allele is present is given by and

Then by Hardy-Weinberg:

(x+y)^2 = 1 , where both and are non-negative.

Which statement discribes the graph that would appropriately represents the above relation?

Possible Answers:

Curved line passing through the point (0.6, 0.9)

Straight line passing through the point (0.5, 0.5)

Parabola opening up passing through the point (1, 0.5)

Straight line passing through the point (0.5, 1)

Correct answer:

Straight line passing through the point (0.5, 0.5)

Explanation:

The equation can be reduced by taking the square root of both sides.

(x+y)^2 = 1

(x+y) = 1

y = 1 - x

As a simple test, all other values when substituted into the original equation fail. However, (0.5 + 0.5)^2 = 1 works. Therefore (0.5,0.5) is our answer.

Report an Error

Example Question #1 : Graphing Quadratic Functions

What is the y-intercept of the following equation?

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

Possible Answers:

(4,0)

(0,2)

(0,3)

(0,4)

(2,0)

Correct answer:

(0,2)

Explanation:

The y-intercept can by found by solving the equation when x=0. Thus,

$f(0)=4\sin(3*0)+2$

f(0)=4*0+2

f(0)=2

Report an Error

Example Question #2 : Graphing Functions

Determine the y intercept of f(x) , where $f(x)=\frac{x-4}{x^{2}+x-12}$ .

Possible Answers:

(12,0)

(4,0)

(0,12)

$\bigg(\frac{1}{3},0\bigg)$

$\bigg(0,\frac{1}{3}\bigg)$

Correct answer:

$\bigg(0,\frac{1}{3}\bigg)$

Explanation:

In order to determine the y-intercept of f(x) , set x=0

$f(0)=\frac{0-4}{0^{2}+0-12}$

$f(0)=\frac{-4}{-12}$

$f(0)=\frac{1}{3}$

Solving for y, when x is equal to zero provides you with the y coordinate for the intercept. Thus the y-intercept is $\bigg(0,\frac{1}{3}\bigg)$ .

Report an Error

Example Question #3 : Graphing Functions

What is the -intercept of the function,

f(x)=(x-2)^2+4 ?

Possible Answers:

Correct answer:

Explanation:

To find the -intercept we need to find the cooresponding value when x = 0 .

Substituting x = 0 into our function we get the following:

f(0)=(0-2)^2+4

f(0)=4+4

f(0)=8

Therefore, our -intercept is .

Report an Error

Example Question #4 : Graphing Functions

What is the value of the -intercept of f(x)=(2x+4)^2+5 ?

Possible Answers:

The graph does not have a -intercept

Correct answer:

Explanation:

To find the -intercept we need to find the cooresponding value when x=0 . Therefore, we substitute in x=0 and solve:

f(0)=(2(0)+4)^2+5

f(0)=(0+4)^2+5

f(0)=16+5

f(0)=21

Report an Error

Example Question #1 : Symmetry

If f(x) = f(-x) , what kind of symmetry does the function f(x) have?

Possible Answers:

Symmetry across the line y=x

No Symmetry

Odd Symmetry

Even Symmetry

Correct answer:

Even Symmetry

Explanation:

The definition of even symmetry is if f(x) = f(-x)

Report an Error

Example Question #2 : Symmetry

If f(-x)=-f(x) , what kind of symmetry does f(x) have?

Possible Answers:

Even symmetry

Symmetry across the line y=x

No symmetry

Odd symmetry

Correct answer:

Odd symmetry

Explanation:

f(-x)=-f(x) is the definition of odd symmetry

Report an Error

Example Question #1 : Angles

Solve for .

(Figure not drawn to scale).

Possible Answers:

8^o

12^o

10^o

14^o

Correct answer:

14^o

Explanation:

The angles are supplementary, therefore, the sum of the angles must equal 180^o .

$\small (4n+22^o)+(8n-10^o)=180^o$

$\small 4n+22^o+8n-10^o=180^o$

$\small 12n+12^o=180^o$

$\small 12n=168^o$

$\small n=14^o$

Report an Error

Example Question #1 : Angles

Are $129^{\circ}$ and $51^{\circ}$ supplementary angles?

Possible Answers:

Not enough information

Yes

Correct answer:

Yes

Explanation:

Since supplementary angles must add up to $180^{\circ}$ , the given angles are indeed supplementary.

Report an Error

Example Question #1 : Angles

Solve for and .

(Figure not drawn to scale).

Possible Answers:

$\small x=15^o;\ y=52.5^o$

$\small x=15^o;\ y=37.5^o$

$\small x=7.5^o;\ y=18.75^o$

$\small x=15^o;\ y=7.5^o$

Correct answer:

$\small x=15^o;\ y=37.5^o$

Explanation:

The angles containing the variable all reside along one line, therefore, their sum must be 180^o .

$\small 5x+4x+3x=180^o$

$\small 12x=180^o$

$\small x=15^o$

Because and are opposite angles, they must be equal.

$\small 2y=5x$

$\small x=15^o$

$\small 2y=5(15^o)=75^o$

$\small y=\frac{75^o}{2}=37.5^o$

Report an Error

View Pre-Calculus Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View Pre-Calculus Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

View Pre-Calculus Tutors

Yucheng
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Mechanical Engineering.

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Seattle, Math Tutors in Chicago, Chemistry Tutors in Denver, Chemistry Tutors in Philadelphia, SSAT Tutors in Washington DC, Math Tutors in San Francisco-Bay Area, Calculus Tutors in Miami, English Tutors in Houston, English Tutors in Boston, Chemistry Tutors in Seattle

Popular Courses & Classes

SAT Courses & Classes in Houston, ACT Courses & Classes in Phoenix, MCAT Courses & Classes in Denver, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Denver, LSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Houston, GMAT Courses & Classes in Boston, LSAT Courses & Classes in San Diego, SAT Courses & Classes in Atlanta

Popular Test Prep

GRE Test Prep in Phoenix, GRE Test Prep in Washington DC, SSAT Test Prep in Chicago, GRE Test Prep in Boston, MCAT Test Prep in Houston, LSAT Test Prep in New York City, SSAT Test Prep in Miami, ACT Test Prep in Chicago, ISEE Test Prep in Denver, MCAT 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

Precalculus : Graphing Functions

Study concepts, example questions & explanations for Precalculus

All Precalculus Resources

Example Questions

Example Question #1 : Graphing Functions

Example Question #1 : Graphing Quadratic Functions

Example Question #2 : Graphing Functions

Example Question #3 : Graphing Functions

Example Question #4 : Graphing Functions

Example Question #1 : Symmetry

Example Question #2 : Symmetry

Example Question #1 : Angles

Example Question #1 : Angles

Example Question #1 : Angles

All Precalculus Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: