2. Consider the rational function 8x + 20x 12 4x + 4x - 3 F(x) =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
2. Consider the rational function 8x² + 20x 12 4x² + 4x - 3 F(x) = (a) Factorise the numerator, f(x) = 8x² + 20x − 12, as much as possible. (b) Factorise the denominator, g(x) = 4x² + 4x − 3, as much as possible. (c) Write the factorised form of F, and then identify the Cartesian coordinates of any holes for y = F(x). (d) Find Cartesian coordinates of the x- and y-intercepts for y = F(x). (e) Apply polynomial long division to write the function F(x) in asymptotic form. = (f) Given your answer in (e) state the nature and equations of any asymptotes for y (g) State the domain and range of F. (h) Sketch the graph of y = F(x). Make sure all holes, axes-intercepts and asymptotes are clearly labelled. F(x). 2. Consider the rational function 8x² + 20x 12 4x² + 4x - 3 F(x) = (a) Factorise the numerator, f(x) = 8x² + 20x − 12, as much as possible. (b) Factorise the denominator, g(x) = 4x² + 4x − 3, as much as possible. (c) Write the factorised form of F, and then identify the Cartesian coordinates of any holes for y = F(x). (d) Find Cartesian coordinates of the x- and y-intercepts for y = F(x). (e) Apply polynomial long division to write the function F(x) in asymptotic form. = (f) Given your answer in (e) state the nature and equations of any asymptotes for y (g) State the domain and range of F. (h) Sketch the graph of y = F(x). Make sure all holes, axes-intercepts and asymptotes are clearly labelled. F(x).
Expert Answer:
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Consider the rational function f(z)= (2z+i) / (z^3 + z^2) Determine the location and multiplicity of the poles, and find the partial fraction de- composition of f.
-
Consider the rational function f(z)= 2z+iz3 + z2 Determine the location and multiplicity of the poles, and find the partial fraction decomposition of f.
-
develop a project charter form of anything and then make its WBD hierarchal form + Tabular form in the form of word document
-
Why should every credit application be signed by the applicant or an authorized officer of the applicant? There are several factors that influence the setting of the terms and conditions of a sale....
-
A partnership of attorneys in the St. Louis, Missouri, area has the following balance sheet accounts as of January 1, 2013: Assets .........$320,000 Liabilities ..........$120,000 Athos, capital...
-
Revenue from sales, expenses paid for purchases, employee salary and overheads comprise A. Operating activities B. Financing activities C. Investing activities
-
Classify the gears and explain them with neat sketches.
-
The following information is available from Sand Corporations accounting records for the year ended December 31, 2014: Cash received from customers ..... $870,000 Rent received ............. 10,000...
-
Crane Corp. is thinking about opening a soccer camp in southern California. To start the camp, Crane would need to purchase land and build four soccer fields and a sleeping and dining facility to...
-
Complete the statement of cash flow for January through June on the CashFlow worksheet by completing the following tasks. As part of the process, you will need to use a circular reference. You will...
-
What precautions should a school leader take with regard to the possibility of embezzlement? In what ways is a school leader vulnerable to the budgetary risk factor? As you discuss these questions,...
-
Why did WebHouses business model fail?
-
Describe the difference between a heterogeneous and a homogeneous founding team.
-
Why is it important for firms to differentiate themselves from competitors?
-
Complete a competitive analysis grid for Panera Bread.
-
List at least three reasons that demonstrate why having a business model is important.
-
Use simple interest and compound interest separately for each question 7. The borrower is about to take a loan in the amount of UAH 1.5 million. With a return of UAH 2 million in half a year....
-
How does the organizational structure of an MNC influence its strategy implementation?
-
An amount of $46,000 is divided among three investments yielding $3020 in interest per year. The interest rates for the three investments are 5%, 7%, and 8% simple interest. Find the amount placed in...
-
In Exercises 1 and 2, perform the multiplication and use the fundamental identities to simplify. (There is more than one correct form of each answer.) 1. (sin x + cos x)2 2. (2 csc x + 2)(2 csc x 2)
-
Show that the two expressions are equivalent. 1. 4x2 + 6y2 / 10 x2 / (1/4) + 3y2/5 2. 4x2/14 - 2y2 = 2x2/7 - y2 / (1/2) 3. 25x2 / 36 + 4y2 / 9 = x2 / (36/25) + y2 / (9/4)
-
From the following trial balance of G. Foot after his first year's trading, you are required to draw up a statement of profit or loss for the year ending 30 June 2016. A statement of financial...
-
At the beginning of the financial year on 1 April 2017, a company had a balance on plant account of 372,000 and on provision for depreciation of plant account of 205,400. The company's policy is to...
-
What circumstances might lead you to write-off a debt as bad and not close the debtor's account?
Study smarter with the SolutionInn App