Consider the rational function
Consider the rational function 
a. What monomial expression best estimates the behavior of 5x4 + 8x + 17 as x -> ±∞?
b. What monomial expression best estimates the behavior of 8x2 - 13 as x -> ±∞?
c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 
as x -> ±∞ . Simplify your answer as much as possible.
d. Based on your answer to part (c), what happens to the value of f(x) as x -> ±∞?
e. Based on your answer to part (d), what is the horizontal asymptote of f? If no horizontal asymptote exists for f, enter "DNE".
Homework Answers
00 The information below tells us about the behavior of the rational function f around its...
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
help W 9.4.35 Find the partial fraction decomposition for the following rational expression. 3x® +6x4 -...
help
W 9.4.35 Find the partial fraction decomposition for the following rational expression. 3x® +6x4 - 72x2 + 5x² - 10x - 120 x²+2x² – 24 3x + 6x4 - 72x2 + 5x² - 10x - 120 x3 + 2x² - 24x 1.0.0.0 II X-4 X+6 9.4.39 Find the partial fraction decomposition for the rational expression. 8x² - 6x-8 x3 + x² - 2x 8x2 - 6x-8 x²+x²–2x (Simplify your answer. Use integers or fractions for any numbers in the...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x4 + 2x3-7x2-8x+12 What are the real zeros? Select the correct choice below and, if necessary, fill in the answer box to complete your answer Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)...
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the...
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. Q(x) =...
Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. Q(x) = 5x^2 - 13x - 6/3x^2 - 7x - 6 Select the correct choice below and fill in any answer boxes within your choice. The vertical asymptote(s) is/are x = (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) There is no vertical asymptote. Select the correct choice below and fill in any answer within your...
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function x-8 R(x)...
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function x-8 R(x) Find the vertical asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice O A. The vertical asymptote(s) is/are x- O B. There is no vertical asymptote. x2-5x +6 (Simplify your answer. Use a comma to separate answers as needed.)
12 Find the equation and sketch the graph of a rational function that passes through (0,0)...
12 Find the equation and sketch the graph of a rational function that passes through (0,0) and 6,35 . has the x-axis as a horizontal asymptote, and has two vertical asymptotes x- 1 and x1 The equation of the function is y (Simplify your answer. Use integers or fractions for any numbers in the equation.) Choose the correct graph below. в. Ос. O D.
Consider the function below. x)= (x-4)2 (a) Find the vertical asymptote(s). (Enter your answers as a...
Consider the function below. x)= (x-4)2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an a er does not exist, enter DNE.) answ x Find the horizontal asymptote(s). (Enter your an comma-separated list. If an answer does not exist, enter DNE.) s wers as a y (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the interval(s) where the function...
2x-8 The rational function f(x)= - x2-7x+12 - has ... A horizontal asymptote at y =...
2x-8 The rational function f(x)= - x2-7x+12 - has ... A horizontal asymptote at y = 2 ro A horizontal asymptote at y = 0 A horizontal asymptote at x = 2 d. A horizontal asymptote at x = 3 The domain of f(x)=log3(x) is... xin(-xxx) xin (0,x) , xin [0,x) x in(-3,0) 2x -8 The rational function f(x)=- x? -7x+10 has... - a hole at x = 3 and a VA at x =4 ന hole at x =...
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
1. Given, the rational function below, sketch a neat and labeled graph by filling in each of the blanks with appropriate work: 2x² + 8x f(x)= x-2 a) Domain in intervals b) Equation of vertical asymptote(s), if any c) Equation of horizontal asymptote or slant asymptote, if any (write n and m). d) Ordered pair(s) of point where function touches its horizontal or slant asymptote c) x-intercept(s) and its y-intercept, if any Test for symmetry and state your conclusion
help
W 9.4.35 Find the partial fraction decomposition for the following rational expression. 3x® +6x4 - 72x2 + 5x² - 10x - 120 x²+2x² – 24 3x + 6x4 - 72x2 + 5x² - 10x - 120 x3 + 2x² - 24x 1.0.0.0 II X-4 X+6 9.4.39 Find the partial fraction decomposition for the rational expression. 8x² - 6x-8 x3 + x² - 2x 8x2 - 6x-8 x²+x²–2x (Simplify your answer. Use integers or fractions for any numbers in the...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x4 + 2x3-7x2-8x+12 What are the real zeros? Select the correct choice below and, if necessary, fill in the answer box to complete your answer Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)...
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. Q(x) = 5x^2 - 13x - 6/3x^2 - 7x - 6 Select the correct choice below and fill in any answer boxes within your choice. The vertical asymptote(s) is/are x = (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) There is no vertical asymptote. Select the correct choice below and fill in any answer within your...
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function x-8 R(x) Find the vertical asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice O A. The vertical asymptote(s) is/are x- O B. There is no vertical asymptote. x2-5x +6 (Simplify your answer. Use a comma to separate answers as needed.)
12 Find the equation and sketch the graph of a rational function that passes through (0,0) and 6,35 . has the x-axis as a horizontal asymptote, and has two vertical asymptotes x- 1 and x1 The equation of the function is y (Simplify your answer. Use integers or fractions for any numbers in the equation.) Choose the correct graph below. в. Ос. O D.
Consider the function below. x)= (x-4)2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an a er does not exist, enter DNE.) answ x Find the horizontal asymptote(s). (Enter your an comma-separated list. If an answer does not exist, enter DNE.) s wers as a y (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the interval(s) where the function...
2x-8 The rational function f(x)= - x2-7x+12 - has ... A horizontal asymptote at y = 2 ro A horizontal asymptote at y = 0 A horizontal asymptote at x = 2 d. A horizontal asymptote at x = 3 The domain of f(x)=log3(x) is... xin(-xxx) xin (0,x) , xin [0,x) x in(-3,0) 2x -8 The rational function f(x)=- x? -7x+10 has... - a hole at x = 3 and a VA at x =4 ന hole at x =...
Most questions answered within 3 hours.
-
Chargaff's results yielded a molar ratio of 0.400 for A to G in
avian tubercle bacillus...
asked 1 hour ago -
Which of the following binds ATP/ADP?
a. microfilaments
b. microtubules
c. intermediate filaments
d. microfilaments and...
asked 1 hour ago -
Assume that the situation can be expressed as a linear cost
function. Find the cost function....
asked 2 hours ago -
(Sort ArrayList) Write the following method that sorts an
ArrayList: public static > void sort(ArrayList list)...
asked 3 hours ago -
2) A 9 volt battery is connected to a parallel plate capacitor
with an initial capacitance...
asked 2 hours ago -
Prince Equipment has to decide whether to obtain $1,000,000 of
financing by: (1) selling common stock...
asked 3 hours ago -
The terms electrical and electronic have similar but
different meanings which of the following statement is...
asked 3 hours ago -
You wish to test the claim that the mean GPA of night students
is than 2.5...
asked 4 hours ago -
A soft drink machine outputs a mean of 25 ounces per cup. The
machine's output is...
asked 5 hours ago -
Ross Co., Westerfield, Inc., and Jordan Company announced a new
agreement to market their respective products...
asked 5 hours ago -
What is the distance run by a runner 50m/hr and
60m/hr?
asked 6 hours ago -
Write a descendant selector rule that affects the <em>
element that is contained within the
<p>...
asked 6 hours ago