# 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.

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

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

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

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)

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.

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?

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