Question: Identify the graph of the rational function and the graph representing each partial fraction of its partial fraction decomposition. Then state any relationship between the

Identify the graph of the rational function and the graph representing each partial fraction of its partial fraction decomposition. Then state any relationship between the vertical asymptotes of the graph of the rational function and the vertical asymptotes of the graphs representing the partial fractions of the decomposition. To print an enlarged copy of the graph, go to MathGraphs.com.
(a) y = (x - 12) / x(x - 4)
= 3/x - 2 / (x - 4)

(b) 2 (4x - 3) / (x2 - 9)
3 / (x - 3) + 5 / (x + 3)

4 4 8. -4 -8 00 4 -4- |-8+

Step by Step Solution

★★★★★

3.41 Rating (176 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a y x 12 x x 4 y 3x y 2 x 4 y 3x is the light gray g... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1383-M-C-P-E(1912).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Choices AD below show the four ways in which the graph of a rational function can approach the vertical line x = 2 as an asymptote. Identify the graph of each rational function defined in parts...

Explain why the graph of a rational function cannot have both a horizontal asymptote and an oblique asymptote?

Is it possible for the graph of a rational function to have all three types of asymptotes? Why or why not? To work an extended application analyzing the total numbers of military personnel on active...

Question 25 Follow the seven step strategy to graph the following rational function To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. O y-axis...

Need your help regarding this Lesson/Activities I'll surely give you Feedback. Lesson Representing Real-life 1 Situations Using One-to-one Functions Have you ever asked yourself how your height and...

1 What are the equations of the vertical and the horizontal asymptotes of the graph of y = + 4? X - 6 The vertical asymptote is . (Type an equation.)1 What are the equations of the vertical and the...

1. What is the graph of the rational function? A. B. C. D. 2. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Objective Section Sample Problem Find the standard 7.2 1. Find the standard equation of the circle and then graph it. equation of a circle Center (4, -2), radius 3 and graph it Complete the square in...

Refer to problem 8-48. Test the null hypothesis that the variance of the cost of repairing a broken leg is equal to the variance of the cost of repairing an injured knee. In problem According to...

Examine the table shown below. staff No. and branch No. are the composite key pair of the table. Deduce the following: A. Identify the Normal Form of the Table? Mention step by step reasoning. B....

In a network that contains two servers and twenty workstations, where is the best place to install an Anti-virus program?

3.13 Suppose we wish to find a prediction function g(x) that minimizes MSE = E[(y g(x))2], where x and y are jointly distributed random variables with density function f(x, y). (a) Show that MSE is...

Without performing any calculations, determine which measure of central tendency best represents the graphed data. Explain your reasoning. How Often Do You Change Jobs? 1250- 1000 - 750- 500 250 -...

The following three defense stocks are to be combined into a stock index in January 2013 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance):...

Given the following demand data, Perlod Demand 1 56 52 56 51 5 57 Book a. Compute a weighted average forecast using a weight of 0.4 for the most recent period, 0.3 for the next most recent, 0.2 for...

Enter the Current and Long - Term portions of the following loan Loan Received a $ 3 6 , 0 0 0 loan payable in equal ( i ) Incorrect. Try again. SUBMIT instalments over the next 3 years.