Pla D Sol Cha iME Rat Rat Rat G At Chi sy do + Rat Rat Rat Rat LE imathas.rationalreasoning.net YouTube Maps I - 4 Consider the rational function f(I) =- 12 + 3x + 13 a. What monomial expression best estimates the behavior of x - 4 as a -> + 0o? Preview b. What monomial expression best estimates the behavior of a + 3x + 13 as z > + co? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of - 2 4 x2 + 3x + 13 as 1 - + co. Simplify your answer as much as possible. Preview d. Based on your answer to part (c). what happens to the value of f(x) as a > co? (Hint: now your answer should be a number, co. - co of "DNE".) As x - + 00, f(x) - Preview e. Based on your answer to part (d). what is the horizontal asymptote of f? If no horizontal asymptote exists for f. enter "DNE". y = Preview Submit action 3 Points possible. 5 ly cloudy O Search the web #. -2 % 4 5 W E R TChe Sol Rat Rat "Cha iMa FX Rat Rat Rat Rat GAtz Sy dor athas.rationalreasoning.net Maps I = Preview Submit License Question 12. Points possible: 1 Unlimited attempts. Message instructor about this question Post this question to forum Suppose that f(I) = 7 I - 7 Complete the following statements a. As I - 7" , f(I) - Preview b. As z - 7+ , f(x) - Preview Submit Question 13. Points possible: 1 License Unlimited attempts. Message instructor about this question Post this question to forum Total Points Possible: 26 When you are done, click here to see a summary of your score O Search the web hp 103 144 F2 msert # - 4 5 6 E R T P D F G H K C V B N MRat Rat Rat Rat P Pla Sol CHEN iME X Rat Rat Rat GAt Chi Sy dor + G mathas,rationalreasoning.net YouTube Maps Katz - Math 111: Section 28 - F22 > Assessment Amira Holmes to 6.2: End Behavior of Rational Functions (Homework) Due in 20 hours, 7 minutes. Due Thu 10/20/2022 11:15 am D Match each of the following worded statements with the mathematical notation that represents it. - v I -+ 00 a. I approaches 7 from values less than 7. -v I -+ 7 b. I approaches 7 from values greater than 7. - v I -+ 7+ c. I decreases without bound - v I -> - 00 d. I increases without bound. Submit Question 1. Points possible: 1 License Unlimited attempts. Message instructor about this question Post this question to forum Consider the function f(I) - 1 1 + 4 a. Complete the table of values below. 1 4 4 -100000 stly cloudy O Search the web 14 101 6 10 19 144 ins # Z $ % 4 & 5 6 9 E R T P S D F GiMa Rat Rat Rat Rat Rat GAtz Cha Sy dor F X Rat as.rationalreasoning.net Maps License Question 11. Points possible: 1 Unlimited attempts. Message instructor about this question Post this question to forum Determine the vertical asymptotes of the following functions without using a graphing calculator. Enter your answers as a comma-separated list if necessary. a. Given that f(I) = I - 7' - the vertical asymptote(s) of f is: Preview b. Given that g(x) = - 2 + 2x - g: the vertical asymptote(s) of g is: Preview Submit Question 12. Points possible: 1 License Unlimited attempts. Message instructor about this question Post this question to forum Suppose that f(r) = 7 x - 7 . Complete the following statements. a. As x -> 7 : f(x) Preview O Search the web hp 4- 14# insert # . 3 & 4 5 6 7 E R T U P D F G H K C V B N MD Sol Chi Chi iMa X Rat Rat Rat Rat Rat Rat Rat GAt Che sy do + imathas.rationalreasoning.net YouTube Maps Oflimited attempts. Message instructor about this question Post this question to forum 12 + 6 Consider the function f(I) = - For each prompt below, if no solution exists - enter "DNE". If there is more than one (4x - 11)(z + 5) solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts a. Determine the vertical intercept of f. f(0) = Preview b. Determine the zeros (or "roots") of f. Preview c. Determine the vertical asymptote(s) of f. Preview d. Determine the horizontal asymptote of f. y = Preview Submit Question 6. Points possible: 4 License Unlimited attempts. Message instructor about this question loudy O Search the web hp 4- 19 144 inser 2 $ 4 5 O E R T S D F G HSol Char Chi Chi 6 iMa X Rat Rat Rat Rat Rat Rat Rat GAt Ch Sy dor + imathas.rationalreasoning.net LE Maps The graph of a rational function f is shown below. - 6 -4 1-2 a. What is the horizontal asymptote of f? y = Preview b. Complete the following statements: 1. As x - 00, f(x) - Preview ii. As x -+ 0o. f(x) - Preview Search the web hp 14 10 16 10 144 ho insert $ & 4 5 6 9 W E R T P FPla Chi & iMe Rat Rat Rat Rat Rat Rat Rat G At Cha by do + imathas.rationalreasoning.net You Tube Maps License Question 3. Points possible: 5 Unlimited attempts. Message instructor about this question Post this question to forum 9x + 17 Consider the rational function f(I) 3x - 12 a. What monomial expression best estimates the behavior of 92 + 17 as a -> + co? Preview b. What monomial expression best estimates the behavior of 3x - 12 as z -> + co? Preview 92 + 17 c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 3x - 12 x + + co. Simplify your answer as much as possible. Preview d. Based on your answer to part (c), what happens to the value of f (x) as a ) + co? (Hint: now your answer should be a number, co, - co , or "DNE".) As I + + 00, f(x) - Preview e. Based on your answer to part (d). what is the horizontal asymptote of f? If no horizontal asymptote exists for f. enter "DNE". y = Preview cloudy Search the web 144 F10 @ 2 # Z $ 4 5 6 O W E R T P SRat Rat Rat Rat GAt Ch Sy do Pla Cha iMa Rat Rat Ra imathas.rationalreasoning.net YouTube Maps Message instructor about this question Post this question to forum 2x* + 72 + 18 Consider the rational function f(z) = 8x2 - 14 a. What monomial expression best estimates the behavior of 2x* + 7x + 18 as z -> + co? Preview b. What monomial expression best estimates the behavior of 8x- - 14 as z -> + co? Preview. 2x* + 71 + 18 c. Using your results from parts (a) and (b). write a ratio of monomial expressions that best estimates the behavior of - 8x2 - 14 - as I -+ + co. Simplify your answer as much as possible. Preview d. Based on your answer to part (c). what happens to the value of f (z) as a .| co? (Hint: now your answer should be a number, co. - co : or "DNE".) As I + + 00. f(I) - Preview . Based on your answer to part (d), what is the horizontal asymptote of f? If no horizontal asymptote exists for f, enter "DNE". y = Preview y cloudy Search the web 13 + 19 144 # - EK 4 5 6 W E R T Y P S D F G HiMa G At Ch. sy do + Sol Cha X Rat Rat Ra Rat Rat Rat Rat imathas.rationalreasoning.net YouTube Maps Message instructor about this question Post this question to forum Consider the function f(I) = - 1 a. Complete the table of values below. f(I ) = 1 1 + 4 100000 10000 -100 100 10000 100000 b. Based on your table in part (a), complete the following statements. 1. As x - - co, f(x) - Preview ii. As x - 00, f(x) Preview Submit Question 2. Points possible: 3 License Unlimited attempts. cloudy O Search the web np 16 4- 4+ 140 # - 3 $ 4 & 5 6 W E R T PD Sol Ch Che iMa X Rat Rat Rat Rat Rat Rat Rat G At Cha Sy doi + imathas.rationalreasoning.net uTube Maps Consider the following rational function: f(z) = and" + an 12" + ... + az + co byIm + by_12m -1 + ... + biz + bo a. Which of the following conditions entails that f has a horizontal asymptote at y - 0? Select all that apply. Um = n Om n b. Which of the following conditions entails that f has a horizontal asymptote at y - a where a * 0? Select all that apply. Om = n Om n c. Which of the following conditions entails that f does not have a horizontal asymptote? Select all that apply. Um = n Om n Submit Question 8. Points possible: 3 License Unlimited attempts. Message instructor about this question O Search the web W 4+ 18 140 insert % A 4 5 E R T