Pre-Calculus

Have pre-calculus questions? Ask a pre-calculus tutor

Connect one-on-one with {0} who will answer your question

a. Find the slant asymptote...

a. Find the slant asymptote of the graph of the rational function.

b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.

f left parenthesis x right parenthesis equals StartFraction x squared plus 9 Over x EndFraction

a. Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation of the slant asymptote is

nothing.

(Type an equation.)

B.

There is no slant asymptote.

b. To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below.

neither y-axis symmetry nor origin symmetry

origin symmetry

y-axis symmetry

What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The y-intercept is

9.

(Type an integer or a simplified fraction.)

B.

There is no y-intercept.

What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice.

A.

The x-intercept(s) is/are

nothing.

(Type an integer or a simplified fraction. Use a comma to separate answers if needed.)

B.

There are no x-intercepts.

Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation(s) of the vertical asymptote(s) is/are

nothing.

(Type an equation. Use a comma to separate answers as needed.)

B.

There is no vertical asymptote.

Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation(s) of the horizontal asymptote(s) is/are

nothing.

(Type an equation. Use a comma to separate answers as needed.)

B.

There is no horizontal asymptote.

Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at minus5, minus4, 4, 5, and 6.

x

minus5

minus4

4

5

6

f left parenthesis x right parenthesis equals StartFraction x squared plus 9 Over x EndFraction

nothing

nothing

nothing

nothing

nothing

(Type integers or simplified fractions.)

Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below.

A.

-30

30

-30

30

x

yA coordinate system has a horizontal x-axis labeled from negative 30 to 30 in increments of 3 and a vertical y-axis labeled from negative 30 to 30 in increments of 3. The xy plane contains two branches and two dashed lines. The first dashed line is vertical and intersects the x-axis at the origin. The second dashed line is diagonal and passes through the origin and falls from the left of the plane in the second quadrant to the right of the plane in the fourth quadrant. The left branch is above the diagonal dashed line and to the left of the vertical dashed line. As x approaches negative infinity this branch approaches positive

b. Follow the seven-step strategy and use the slant asymptote to graph the rational function.

f left parenthesis x right parenthesis equals StartFraction x squared plus 9 Over x EndFraction

a. Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation of the slant asymptote is

nothing.

(Type an equation.)

B.

There is no slant asymptote.

b. To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below.

neither y-axis symmetry nor origin symmetry

origin symmetry

y-axis symmetry

What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The y-intercept is

9.

(Type an integer or a simplified fraction.)

B.

There is no y-intercept.

What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice.

A.

The x-intercept(s) is/are

nothing.

(Type an integer or a simplified fraction. Use a comma to separate answers if needed.)

B.

There are no x-intercepts.

Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation(s) of the vertical asymptote(s) is/are

nothing.

(Type an equation. Use a comma to separate answers as needed.)

B.

There is no vertical asymptote.

Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete the choice.

A.

The equation(s) of the horizontal asymptote(s) is/are

nothing.

(Type an equation. Use a comma to separate answers as needed.)

B.

There is no horizontal asymptote.

Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at minus5, minus4, 4, 5, and 6.

x

minus5

minus4

4

5

6

f left parenthesis x right parenthesis equals StartFraction x squared plus 9 Over x EndFraction

nothing

nothing

nothing

nothing

nothing

(Type integers or simplified fractions.)

Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below.

A.

-30

30

-30

30

x

yA coordinate system has a horizontal x-axis labeled from negative 30 to 30 in increments of 3 and a vertical y-axis labeled from negative 30 to 30 in increments of 3. The xy plane contains two branches and two dashed lines. The first dashed line is vertical and intersects the x-axis at the origin. The second dashed line is diagonal and passes through the origin and falls from the left of the plane in the second quadrant to the right of the plane in the fourth quadrant. The left branch is above the diagonal dashed line and to the left of the vertical dashed line. As x approaches negative infinity this branch approaches positive

Show More

Show Less

Was this answer helpful?

Describe your issueThe assistant will guide you

Chat 1:1 with a tutorLicensed Experts are available 24/7

100% satisfaction guaranteeGet all the answers you need

Related Pre-Calculus Questions

Determine whether the graph is that of a function by using

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect t… read more

Determine whether the graph is that of a function by using

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect t… read more

Determine whether the graph is that of a function by using

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find (a) its domain and range. (b) the intercepts, if any. (c) any symmetry with respect t… read more

Consider the following graph. WebAssign Plot Identify the

Consider the following graph. WebAssign PlotIdentify the parent function. y =Identify the transformation represented by the graph. (Select all that apply.) vertical shift of 4 units downward reflectio… read more

Incorrect, 2.3.37 Question Help Use the Intermediate Value

incorrect, 2.3.37Question Help Use the Intermediate Value Theorem to show that the polynomial f left parenthesis x right parenthesis equals x cubed plus x squared minus 2 x plus 9 f(x)=x3+x2−2x+9 has … read more

Part 1 of 1 - Lesson 3 Questions 65.0/ 100.0 Points Question

Part 1 of 1 - Lesson 3 Questions 65.0/ 100.0 Points Question 1 of 20 5.0/ 5.0 Points Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each … read more

Precalculus Problems. (big bonus for great solutions) 1. Solve

Precalculus Problems. (big bonus for great solutions) 1. Solve the following equation for x: log2(x + 7) + log2(x + 8) = 1 Note: Be sure to plug any solutions back into the original equation; if they … read more

k Im back...f(x)=3x^2+4x-2 over x+1...Remember all i need

k I'm back...f(x)=3x^2+4x-2 over x+1...Remember all i need is the points for the asymptotes and the two lines, nothing else. Thanks again!… read more

Need answer:1. Which of these is the equation of a parabola

1. Which of these is the equation of a parabola with vertex (–6, 2)? A. y = 4(x + 6)2 + 2 B. y = (x + 6)2 + (–2) C. y = 4x2 + 6x − 2 D. y = x2 + 12x + 34 2. The square root property tells us that if (… read more

Hi how are you? I have some math problems that I am having

Hi how are you? I have some math problems that I am having trouble with, hoping you can help. The instructions given were For each equation given, graph the parabola and determine the axis of symmetry… read more

Analyze the graph of the function. R(x)=x+8/x(x+13 Could

Analyze the graph of the function. R(x)=x+8/x(x+13 Could you show your work step by step please, Thank you.… read more

Analyze the graph of the function. R(x)=9x+9/2x+4 What is

Analyze the graph of the function. R(x)=9x+9/2x+4 What is the domain of R(x)? What is the equation of the vertical a symptote (s) of R(x)? What is the equation of the horizontal or oblique a symptote … read more

Answer the following for the given quadratic function. f(x)=x^2-16x+64 What

Answer the following for the given quadratic function. f(x)=x^2-16x+64 What is the vertex (h,k) of f? Could you write down how you got the answer step by step, thanks… read more

Can you rewrite what i did wrong? 1. Equation: y=x^2+8x+16 Find: a.

Can you rewrite what i did wrong? 1. Equation: y=x^2+8x+16 Find: a. Vertex: (-4, 0) b. Axis of symmetry: 4 c. Intercepts: (-4, 0), (0, 16) d. Domain: (-∞, -4] or [-4, ∞) e. Range: (-∞, 16] f. Interval… read more

Graph the following function using the techniques of shifting,

Graph the following function using the techniques of shifting, compressing, stretching and/or reflecting. Start with graph of the basic function shown to the right. Find to domain and range of the fun… read more

List the intercepts and test for symmetry. y=-6x^9/x^4-2 Could

List the intercepts and test for symmetry. y=-6x^9/x^4-2 Could you go step by step on how you got the answer?… read more

List the intercepts and test for symmetry. y= -7x^5/x^6-2 Could

List the intercepts and test for symmetry. y= -7x^5/x^6-2 Could you please go step by step and show me how you got the answer.… read more

Math: I need help with the question F(x)=x^2-x-6/2x^2-10x+12 I

Math: I need help with the question F(x)=x^2-x-6/2x^2-10x+12 I found the vertical asymptote Which was x=3,x=2 I have to find the horizontal asymptote and the x intercept thanks… read more

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.

JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.

Web sites like justanswer.com/legal

...leave nothing to chance.

...leave nothing to chance.

Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.

Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.

I will tell you that...the things you have to go through to be an Expert are quite rigorous.

Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.

Freshfield, Liverpool, UK

This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!

Los Angeles, CA

Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.

Hesperia, CA

I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.

Kernersville, NC

Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.

Woodstock, NY

Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.

Elkton, Maryland

He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.

Dallas, TX

< Previous | Next >

rajeevanpillai

Master's Degree

480 satisfied customers

B.Sc in Mathematics and M.Sc, M Phil in Statistics

Mr. Gregory White

Master's Degree

167 satisfied customers

M.A., M.S. Education / Educational Administration

mhasan420

Master's Degree

37 satisfied customers

BA Maths, Oxford

JACUSTOMER-yrynbdjl-

Master's Degree

13 satisfied customers

I have taught college Mathematics for the past 10 years.

Dr. Arthur Rubin

Doctoral Degree

12 satisfied customers

Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers

Sandhya_sharma

Master's Degree

1,250 satisfied customers

I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.

Kofi

PhD in Statistics

868 satisfied customers

Masters in Mathematics and Statistics

< Previous | Next >

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.