I forgot how to look for the asymptote from an equation.. can someone please help me out? example: y= x/(x+1) what's the asymptote in this case? Thanks

34,212 results
  1. Calculus

    If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?

  2. Math

    Give an example of a rational function that has vertical asymptote x = 3 and x = -3, horizontal asymptote y = 2 and y-intercept is (0, 4)

  3. Calculus AB

    Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (-1,3)

  4. Math

    f(x) = tan x / sin x Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.

  5. Rational Functions

    Write an equation for a rational function whose graph has the following properties: x-intercept of 3 y-intercept of -3 vertical asymptote of x=-2 horizontal asymptote of y=2

  6. Algebra

    write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't figure out how to shrink the

  7. Math

    Write a rational function satisfying the following criteria. vertical Asymptote: x=-1, slant asymptote: y=x+2, zero of the function: x=3 I had f(x)=x^2+3x+2/x+1, that only works for the asymptotes and not the zero can someone please help me figure how to

  8. Pre-Calc/Trig...

    Write a function with the following characteristics: A vertical asymptote at x=3 A horizontal asymptote at y=2 An x-intercept at x=-5

  9. math

    Describe the vertical asymptote(s) and hole(s) for the graph of .y=(x-3)(x-1)/(x-1)(x-5) A. asymptote: x = 5 and hole: x = 1 B. asymptote: x = –5 and hole: x = –1 C. asymptote: x = –3 and hole: x = 5 D. asymptote: x = 5 and hole: x = –1

  10. math

    Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1.

  11. advance functions gr12

    write an equation for a rational function whose graph has all of the indicated features: -vertical asymptote with equation x=3 -horizontal asymptote with equation y=2 -hole at x=1 no x intercept thank you

  12. math

    Use the exponential equation f(t)=3(0.92)^t + 7 to answer the questions. A: What is the equation of the horizontal asymptote in this function? B: What is the base of the power? C: What is the initial value, f(0)?

  13. Math

    20. (4 points) Write an equation for a rational function whose graph has all of the indicated features. vertical asymptote with equation x 3 horizontal asymptote with equation y =2 hole at x= 1 no x-intercepts

  14. AP Calculus

    - Which of the following is false for f(x) = (5x^3-5x^2-10x)/(2x^5-2x) a) The x-axis is an asymptote of f(x) b) x = -1 is not an asymptote of f(x). c) x = 1 is an asymptote of f(x). d) The y-axis is an asymptote of f(x). Thanks

  15. Math

    State an equation of a rational function that satisfies the given conditions: vertical asymptote at x=5, horizontal asymptote at y=-3, and x-intercept is 5/2. Need help solving.

  16. Math

    Write an equation for a rational function whose graph has all of the indicated features. x - intercept of -4 y - intercept of -2 vertical asymptote with equation x = 2 horizontal asymptote with equation y = 1

  17. pre cal

    f(x)= log2 (x-1).The vertical asymptote of the function f(x) has equation:?

  18. Math

    Write the equation of a rational function in the form of 𝑓(𝑥) = 𝑎𝑥+𝑏/𝑐𝑥+𝑑 if the vertical asymptote is x =5, the horizontal asymptote is y=2, the x-intercept is (-1/2 , 0) and the y-intercept is (0,-1/5 ).

  19. math

    There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).

  20. Math

    If x=1 is the vertical asymptote and y=-3 is the horizontal asymptote for the graph of the function f which of the following could be the equation of the curve A.f(x)=(-3x^2)/(x-1) B.f(x)=-3(x-1)/(x+3) C.f(x)=-3(x^2-1)/(x-1) D.f(x)=-3(x^2-1)/(x-1)^2

  21. Pre-Calculus

    Rational Functions does the following function have a hole or a vertical asymptote or both? how do you know? find the y-value at that point. y=x^2+7x+12/x^2+8x+15 I factored this out to y = (x+3)(x+4)/(x+5)(x+3) The x+3's cancelled out. I don't get the

  22. Calculus

    Which of these rational functions has a ) horizontal asymptote? a slant asymptote? no vertical asymptote? r(x)= 2x-1/ x^2-x-2 = 2x-1/ (x-2)(x+1) s(x)= x^3+27/x^2+4 = (x+3)(x^2-3x+9)/(x-2)(x+2) t(x)=x^3-9x= x(x-3)(x+3)/x+2 u(x)=x^2+x-6/x^2-25=

  23. algebra

    Describe the vertical asymptote and hole for the graph of (x^2+x-6)/(x^2-9). a. asymptote: x=2; hole: x=-3 b. asymptote: x=3; hole: x=2 c. asymptote: x=-3; hole: x=3 d. asymptote: x=3; hole: x=-3 I know that it has to either be b or d because the asymptote

  24. Precalc

    Find an equation of a rational function that satisfies the given conditions. Vertical asymptote: x = 4 Horizontal asymptote: y = 0 X-intercepts: none Y-intercepts (0, -1/4) Multiplicity of 1 Removable discontinuity: x = 1 End behavior: x --> infinity, f(x)

  25. Algebra

    Enter the equations of the asymptotes for the function f(x) . f(x)= −(2/x+4) − 6 Vertical Asymptote: ? Horizontal Asymptote: ?

  26. Math

    what is the equation for the vertical asymptote of 5x^4-7/2x+3

  27. Precalculus

    Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical asymptote at x = -1 and a

  28. Algebra 2

    Use the following equation to perform the operations below (do not graph the equation yet): y ={x + 5}{x + 1}\{(x + 3)(x - 2)}{(x - 4)(x + 1)}) - {1}/{x - 2} What graphical feature occurs at {x} = -1? Use the "trace" function, zoom in on the graph, or look

  29. maths

    find the encentricity,the foci and vertex and the equation of directrix and asymptote to the equation give the ellipse below 25x^2+4y^2-50x-16y-59=0

  30. calculus

    f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9 Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in the

  31. Math Advanced Functions

    1. Write an equation of a rational function that satisfies all of these conditions (6 marks) - Vertical asymptote at x = -8 and x = 5 - Horizontal asymptote at y = 0 - x-intercept at (-2, 0) - f(0) = -2 - has a hole at x = 3

  32. math

    Suppose the the limit as x approaches 6 to the left equals infinity. What conclusion can be made about the graph of y = f (x)? there is a horizontal asymptote at y = -6 there is a horizontal asymptote at y = 6 there is a vertical asymptote at x = -6 there

  33. College Algebra

    Given the following rational functions,find:a.)the horizontal asymptote(s), b.)the vertical asymptote(s), if any,and c.) the oblique asymptote(),if any. f(x)=x(x-17)^2/(x+12)^3

  34. math help please

    Consider the function g(x)=x/x-7. a) Determine an equation for the vertical asymptote. b) State the domain. c) Determine an equation for the horizontal asymptote. d) State the range. e) Sketch the function. ( i will do it) f) Summarize the increasing and

  35. CALC 2a

    f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x) intersects its non-vertical asymptote? please help i have no idea how to solve this thanks!

  36. calculus

    f(x)= (5x^4 + 5x^3 + 6x^2 + 8x + 5)/(1x^4 + 1x^3 + 1x^2 - 9x + 4) What is the equation of the horizontal asymptote? y = ___? Does the graph of f(x) intersect its horizontal asymptote? (yes or no) If yes, at what x-values does f(x) intersect its horizontal

  37. math

    Hi, I have a math question that I need help with: g:-> 3(1.3)^x State equations for any asymptotes to the graph of g. I know what an asymptote is, but I do not understand this question...so lost. Help would be greatly appreciated. Thanks so much I'm a

  38. calculus

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A.the horizontal asymptote(s) B.the vertical asymptote(s) C. describe their possible meanings Horizontal asymptote is y=-100 vertical

  39. pre calculus

    use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot the points between

  40. math

    The graph of the function f(x)=(x^-9)/2x^2-5x-3 has a vertical asymptote a x=a and a horizontal asymptote at y=b. What are the values of the constants a and b? A. a=-3 b=2 B. a=-1/2 b=1/2 C. a=1/2 b=1/2 D. a=3 b=2 B???

  41. Calculus

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A) the horizontal or oblique asymptote B) the vertical asymptote, if any C) describe their meanings f(x)=x/x^2-100

  42. Calculus

    Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct? Now I forgot how to find the equation. Thank you!

  43. Math

    Use the following information to construct a suitable rational function f(x). * There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. * The graph of the function must go through the points (-4/3,0) and (0,-2)

  44. math

    find the domain, range, y and x-intercept, vertical asymptote, maximum, minimum, one-to-one, and horizontal asymptote of: a. f(x)=x^2-6x+5 b. f(x)=x^2-6x+5 on domain [-1,6]

  45. math

    how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no x-intercept; y-intercept is 3

  46. Advanced Alg.

    I forgot how to look for the asymptote from an equation.. can someone please help me out? example: y= x/(x+1) what's the asymptote in this case? Thanks.

  47. CALC

    f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x) intersects its non-vertical asymptote? the non vertical asymptote is -1/3x + 13/9 i found that using synthetic division and i

  48. CALCULUS HELP !

    f(x)=(-3x^3-x^2-9x-8)/(6x^2+4x+3. Find the equation of the non-vertical asymptote. y= Does f(x) intersect its non-vertical asymptote ? What is the smallest value of x at which f(c) intersects its non-vertical asymptote ? please show all the work. I did

  49. math

    Explain why the graph of g(x) = 1/x has a horizontal asymptote. What is the equation of this asymptote? Will all reciprocal functions have the same horizontal asymptote?

  50. calc

    f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in the

  51. calc

    f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical asymptote. y = Does f(x) intersect its non-vertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in the

  52. Algebra ll

    Please help..I do not understand any of this... Analyze the graph of the function f(x)=x^2+x-42/x+3 a.)what is the domain? b.)what is the equation of the vertical asymptote of f(x)? c.)What is the equation of the horizontal or oblique asymptote? d.) choose

  53. Maths

    There is a graph with maximum point (-2,5) and an asymptote y=1.Sketch the curve with equation y=f(x)+2? Does the asymptote change?

  54. precalcus

    what is the rational equation of a function with intercepts at (8,0) and (0,0.16) and a horizontal asymptote at y=0.5 and a vertical asymptote at x=3 and a removable discontinuity at (3,-1)

  55. Calculus

    f(x)= (-5x^3 + 3x^2 + 3x -5)/(-8x^2 +2x + 7) Find the equation of the non-vertical asymptote. y = ? Does f(x) intersect its non-vertical asymptote? (yes or no) If yes, what is the smallest value of x at which f(x) intersects its non-vertical asymptote?

  56. CALCULUS!

    f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3) . Find the equation of the non-vertical asymptote. y = ____3x/2 - 39/8_____ Does f(x) intersect its non-vertical asymptote? (yes or no) ___YES____ What is the smallest value of x at which f(x) intersects its

  57. pre calc

    (-9x^3-6x^2-x+3)/(2x^2+5x+2) I have figured out the equation for the slant asymptote = (33/4)-(9x/2) but this next ? is throwing me off. I have tried graphing and everything and it doesnt seem to work. What is the smallest value of x at which f(x)

  58. Algebra I

    Ok so I kind of forgot how to do this so I looked up on the internet and was told divide the coefficent in the numerator of the highest degree by the highest coeficent of the highest degree in the numerator and that should be your horizontal asymptote one

  59. Math

    What is the: - vertical asymptote -horizontal asymptote -non permissible value of y=(x^2+x-12)/(x+4) ? So this simplifies to a linear function y=x-3. BUT the oblique asymptote is also y=x-3. So does this graph not exist? I am really confused.

  60. calculus

    f(x) = (9x^3 - 1x^2 + 8x + 4)/(-2x^2 - 4x - 2) What is the smallest value of x at which f(x) intersects its non-vertical asymptote? I took the slant asymptote which is -9/2x+19/2 and set it equal to the function and tried to solve it as a quadratic

  61. Given the following rational function

    Given the following rational function, find a) the horizontal asymptote(s), b) the vertical asymptote(s), if any, and c) the oblique asymptote(s), if any. F(x) = x^2-x-2/2x^2-x-2

  62. college algebra

    Given the following rational function, find a. the horizontal asymptote(s), b. the vertical asymptote(s), if any, and c. the oblique asymptote(s), if any. f(x)=(x^2-x-2)/(2x^2-x-10)

  63. Math(Please help!)

    Describe the vertical asymptote and hole for the graph of (x^2+x-6)/(x^2-9). a. asymptote: x=2; hole: x=-3 b. asymptote: x=3; hole: x=2 c. asymptote: x=-3; hole: x=3 d. asymptote: x=3; hole: x=-3 I know that it has to either be b or d because the asymptote

  64. calculus

    Determine if the graph of the rational function has a slant asymptote. If it does, find the equation of the slant asymptote. (2x^3+18x^2+47x+24)/(x^2+6x+5)

  65. Math

    given f(x)=-2/x-2 +2 determine the equation of the vertical asymptote ' ' ' ' horizontal asymptote 2.find the coordinates of x intercept. 3.' ' ' y ' '. 4.sketch the graph of of f. 5.Determine the equations of the axes of symmetry of f(x)

  66. math

    Determine an equation of a rational function of the form with x-intercept of 1/4, y-intercept of -1/2, vertical asymptote at x = -2/3, and horizontal asymptote at y = 4/3.

  67. Trigonometry

    F(X) = 2x^3-5x^2-19x+1 / x^2-9....I need the vertical asymptote, horizontal asymptote and the slant asymptote...please help!

  68. Math - Calculus

    Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x) intersects its? -6x^3 + 2x^2 - 9x +3 / -5x^2 +9x - 4 1)Find the equation of the non-vertical asymptote. 2)What is the smallest value of x at which f(x)

  69. Calc

    f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical asymptote. What is the smallest value of x at which f(x) intersects its non-vertical asymptote?

  70. calculus

    Find the equation of the non-vertical asymptote. y=?? 5x^3+5x^2+8x-7/-9x^2+9x+9 What is the smallest value of x at which f(x) intersects its non-vertical asymptote?

  71. math help please...

    1.Explain how to find the equation of the vertical asymptotes of a reciprocal function. 2.The reciprocal of a linear function and a quadratic function have the same horizontal asymptote. What is its equation? 3.Explain how to use end behaviour to find the

  72. Math (Integrals)

    The area A between the graph of the function: g(t) = 4 - (4/t^2) and the t-axis over the interval [1, x] is: A(x) = ∫[1, x] (4 - (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph g is g(t) = 4. b)

  73. PreCalculus

    State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5-x)/(x+3) I already know that the Vertical asymptote is -3, so that means the domain is everything except -3, but how do I find

  74. Calculus

    What is the end-behavior asymptote for f(x)=(x^2+4x-5)/(x-2) ? There is an oblique asymptote at y=x+6 and a vertical asymptote at x=2. Is one of those the end-behavior asymptote?

  75. Math

    Analyze the function algebraically. List its vertical asymptotes, holes, y-intercept, and horizontal asymptote, if any. q(x)= -4/x-2 vertical asymptote= hole= horizontal asymptote= y-intercept=

  76. Algebra - Help!

    Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the Domain: Vertical asymptote(s): Hole(s): Horizontal asymptote (if exists):

  77. College Algrbra

    Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 find (a) the horizontal asymptote(s) (b) the vertical asymptote(s), if any and (c) the oblique aasymptote(s) if any

  78. college algebra

    Given the following rational function, find: A. horizontal asymptotes B. vertical asymptote(s), if any C. oblique asymptote(s), if any f(x)=x^2-x-2/2x^2-x-21

  79. Math

    Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes

  80. College Algebra

    1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = -2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x) = 5x/x+7 The

  81. analyze the graph of the function

    analyze the graph of the function R(x)=x^2-12/x-6 a) What is the domain of R(x)? b) What is the equation of the vertical asymptotes of R(x)? c) What is the equation of the horizontal or oblique asymptote of R(x)?

  82. math

    write equation of hyperbola with cebter c(4,2) vertex (4,5) equation of one asymptote 4y-3x=-4

  83. pre-calculus

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A. the horizontal asymptote B. the vertical asymptote C. describe their possible meaning ( I only need help with C

  84. college algebra

    The following rational function describes blood concentration of a certain drug taken via IV over time: f(x)=x+1/x Find: a.the horizontal or oblique asymptote(s), if any, b.the vertical asymptote(s),if any, c. describe their possible meanings.

  85. algebra II

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find a. the horizontal or oblique asymptote(s), if any, b. the vertical asymptote(s), if any, c. describe their possible meanings.

  86. math

    The following rational function describes blood concentration of a certain drug taken via IV over time: f(x)=x+1/x Find: a.the horizontal or oblique asymptote(s), if any, b.the vertical asymptote(s),if any, c. describe their possible meanings. Can somebody

  87. Math

    Very simply, what is an asymptote? If given a graph, how would you go about locating the asymptote? Thanks.

  88. pre-calculus

    Steve, The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A. the horizontal asymptote B. the vertical asymptote C. describe their possible meaning ( I only need help with C).

  89. calc

    I assume the poster was trying to type "oblique asymptote" from your answer of 3x+2 + 7/(x-1) we can conclude that there is an oblique linear asymptote of y = 3x + 2, and a vertical asymptote at x = 1 for the original function given. how do u find obblique

  90. maths

    sketch the equation of the asymptote y=0 or e^(3x)=0

  91. Pre Calc

    f(x)=e^2x-1 +3 **(2x-1) is the power** what is the equation of asymptote

  92. Pre Calc

    f(x)=e^(2x-1) +3 Find the equation of asymptote

  93. Math

    For y=f(x+2)- 3 write an equation of the asymptote to the graph. Is it y=(1/x) * (x+2)-3

  94. math help!!

    Suppose a function, f(x) has a vertical asymptote toward positive infinity at x= -1, A horizontal asymptote at y = 1=2 as x ¨}‡1, and a turning point at (1;-1). Sketch what you think the function would look like.

  95. Calculus

    Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes Explain how your answer satisfies the previous

  96. calculus

    what is the vertical asymptote and horizontal asymptote of f(x) =1/4x^4-(3/2)x^(1/2)

  97. equation of exp function

    What equation has the following features: It has the x-axis as an asymptote and it passes through (0, -1), (-1,-3) and (-2,-9)?

  98. math

    how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no x-intercept; y-intercept is 3 please help.

  99. math

    Use the given function to answer the following questions. g(x) = (5 x^2) / (x + 1) Without graphing, find the oblique asymptote. If there is no oblique asymptote, enter NONE.

  100. algebra

    find the slant asymptote of the graph of the rational function and use the slant asymptote to graph. f(x)=x^2+x-2/x-7 find slant asymptote of graph of f use slant asymptote to graph rational function find x and y intercepts find vertical and horizontal

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