In Exercises 5780, follow the seven steps to graph each rational function. Seven Steps are given below
Question:
In Exercises 57–80, follow the seven steps to graph each rational function.
Seven Steps are given below
Transcribed Image Text:
Strategy for Graphing a Rational Function The following strategy can be used to graph p(x) f(x) q(x)' where p and q are polynomial functions with no common factors. 1. Determine whether the graph of f has symmetry. f(-x) = f(x): f(-x) = -f(x): y-axis symmetry origin symmetry 2. Find the y-intercept (if there is one) by evaluating f(0). 3. Find the x-intercepts (if there are any) by solving the equation p(x) = 0. 4. Find any vertical asymptote(s) by solving the equation q(x) = 0. 5. Find the horizontal asymptote (if there is one) using the rule for determining the horizontal asymptote of a rational function. 6. Plot at least one point between and beyond each x-intercept and vertical asymptote. 7. Use the information obtained previously to graph the function between and beyond the vertical asymptotes.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
fx 2x x 1 x 2x4 x 1 yaxis symmetry y...View the full answer
Answered By
Akshay Singla
as a qualified engineering expert i am able to offer you my extensive knowledge with real solutions in regards to planning and practices in this field. i am able to assist you from the beginning of your projects, quizzes, exams, reports, etc. i provide detailed and accurate solutions.
i have solved many difficult problems and their results are extremely good and satisfactory.
i am an expert who can provide assistance in task of all topics from basic level to advance research level. i am working as a part time lecturer at university level in renowned institute. i usually design the coursework in my specified topics. i have an experience of more than 5 years in research.
i have been awarded with the state awards in doing research in the fields of science and technology.
recently i have built the prototype of a plane which is carefully made after analyzing all the laws and principles involved in flying and its function.
1. bachelor of technology in mechanical engineering from indian institute of technology (iit)
2. award of excellence in completing course in autocad, engineering drawing, report writing, etc
4.70+
48+ Reviews
56+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 5780, follow the seven steps to graph each rational function. Seven Steps are given below Strategy for Graphing a Rational Function The following strategy can be used to graph p(x) f(x)...
-
In Exercises 5780, follow the seven steps to graph each rational function. Seven Steps are given below Strategy for Graphing a Rational Function The following strategy can be used to graph p(x) f(x)...
-
In Exercises 5780, follow the seven steps to graph each rational function. Seven Steps are given below Strategy for Graphing a Rational Function The following strategy can be used to graph p(x) f(x)...
-
Lucy just started a new job and her employer offers a 457 plan. She is currently 30 and plans to retire at 65, her goal is to have $1,200,000 in her 457 plan when she retires. How much does she need...
-
1. What were the primary motivations that led Lin and his partner to try to start a new business in China? Given their experiences there, do you think they should have considered launching in another...
-
Melissa, an accounting student, interviews for a job with two firms. She really wants to work for Firm X but gets an offer of employment from Firm Y first and accepts it. A week later she receives...
-
An often-ignored concept in breach of contract is the availability, if any, of the award of punitive damages. Often, cases incorporate both breach of contract and tort actions. The tort actions...
-
The minutes of the board of directors of the Meeting of March 5, 2011 The meeting of the board of directors of Tetonic Metals was called to order by the James Cook, chairman of the board, at 8:30 am....
-
Three insurance companies, A, B, and C, agree to jointly insure a cargo ship for $36,800,000. They allocate the premiums received in the ratio 8:5: 10 respectively. How will the annual premium of...
-
Use the position function to answer Exercises 7576. You throw a ball straight up from a rooftop 160 feet high with an initial velocity of 48 feet per second. During which time period will the balls...
-
Notice that the figure does not specify which graph is the model for dry roads and which is the model for wet roads. Use this information to solve Exercises 7778. a. Use the given functions at the...
-
The business world today is increasingly complex and variable, in virtually every country and industry. Thus organizations must become more organic. What are some of the outcomes that companies will...
-
(b) Suppose player 1's strategy set has been expanded to include Z. The expanded game is given below. Assuming players play their Nash equilibrium strategies, for what values of k and t, will player...
-
Write MY MATH class, ADD class, MULTIPLE class. ADD class need include two numbers addition method, three numbers addition method. MULTIPLE class needs two numbers products method, an array numbers...
-
1) P brings a civil antitrust action against D Corp. After the second week of what is projected to be a seven-week trial, D Corp. files for bankruptcy. What is the effect of the automatic stay? Would...
-
Create a GUI for your Agile or Waterfall program from Lab 3. Add these components to AgileWaterfallGUI.form. Again, use these names. q1 * JTextField `projectName` * JSlider `peopleOnTeam` This should...
-
Most fund companies allow you to sell units in one mutual fund to purchase units in another mutual fund among its own offerings. This transaction is called __________________. Question 16 options:...
-
The accompanying data were read from graphs that appeared in the article Bush Timber Proposal Runs Counter to the Record (San Luis Obispo Tribune, September 22, 2002). The variables shown are the...
-
Vince, Inc. has developed and patented a new laser disc reading device that will be marketed internationally. Which of the following factors should Vince consider in pricing the device? I. Quality of...
-
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 3 15
-
Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 5
-
Identify the expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these. 9
-
Your assignment is to find a recent article on an HR Law/Regulation that you feel may be the most challenging to manage. 1. Why did you choose this piece of law/legislation? 2. What is it about this...
-
hi please help! 2. How do you cut a 14" pizza into three pieces of equal area using only two parallel cuts? To make things simpler, consider only the first quadrant. Notice the pizza between x = 0...
-
Utilizing Financial Management concepts, what will be your plan for the coming year's capital expenditures to boost performance of the medical center amidst the Pandemic crisis? What would be...
Study smarter with the SolutionInn App