# find the vertical asymptote of f(x)=1/e^x +1

106,798 results
1. ### 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 know

2. ### 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

3. ### 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 this

4. ### 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

5. ### 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

6. ### 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

7. ### 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?

8. ### 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

9. ### 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

10. ### 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

11. ### 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

13. ### 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)

14. ### 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!

15. ### f(x) = tan x / sin x

Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.

16. ### Why is there no vertical asymptote on

F(x) = x/(x^2+1) What i learned is that to find vertical asymptote you have to set the denominator To 0 and solve for x ? In that case I find that x=-1,1

17. ### 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

18. ### 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?

19. ### 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?

20. ### 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

21. ### 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. ### 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) intersects

23. ### a) an equation with a vertical asymptote at x=2; horizontal asymptote at y=0; no x intercept;y intercept is 3

b)a vertical asymptote at x=1; an oblique asymptote at y=2x-1

24. ### 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=

25. ### which of the following best describes the behavior of thre function f(x)=(x^2-2x)/(x^2-4) at the values not in its domain?

a) one vertical asymptote, no removable discontinuities b) 2 vertical asymptotes c) two removable discontinuities d) one removable

26. ### 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.

27. ### 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=

29. ### 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

30. ### 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):

31. ### Find a rational equation in factored form with:

- x-intercepts at x= 3 and x=-1 - y-intercept at y= 1/6 - horizontal asymptote at y=1 - Vertical asymptote at x=2 and x= -3

32. ### 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.

35. ### 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.

36. ### 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

37. ### 𝑦 = (3x^2)/(x^2-4)

Determine equation of vertical asymptotes. For vertical asymptotes, investigate function values on either side of the asymptote I know that the vertical asymptotes is located at x = -2, 2, but I don't understand what the questions

38. ### The graph of f(x)= (x^2-2x-8)/(x+6) has which of the following?

a. point discontinuity b. vertical asymptote c. both of the above d. neither of the above I'm stuck between b and c. I know that the vertical asymptote is x=-6. Help?

39. ### A rational function, R(x) has the following characteristics:

a vertical asymptote at x = 3, a horizontal asymptote at y = 2, and a hole at (2, −2). Sketch the function and determine what it could be using the following steps: Put in the factor that would

40. ### 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

41. ### 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).

43. ### 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

44. ### 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

45. ### Find an equation of a rational function with the following characteristics:

x-int of 5, y-int of -5/8, vertical asymptote x=-8/5, horizontal asymptote y=1/3 What is a possible answer and how did you arrive at each step?

47. ### Find an equation of a rational function given the following properties

Domain: (-inf, -2)U(-2,-1)U(-1,inf) Vertical asymptote: x=-2 Slant asymptote: y=x-5 X intercept: x=3; y int: y:12 Hole:(1,4)

48. ### 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]

49. ### For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4

a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection

50. ### Given the function: f(x) = 5/(x-1)^2

Find the Horizontal Asymptote: Vertical Asymptote: Hole(s): X intercept: Y intercept:

51. ### 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)

52. ### Use the function f(x) to determine the following.

f(x)=−8x^2−9x/x^2−25 If any answer box is unused, enter DNE in all capital letters. (a) Find all horizontal asymptote(s): y= -8, DNE (b) Find all vertical asymptote(s): x= -5, 5 check my answer

53. ### Use the following conditions to create a sketch of the function by hand.

a. vertical asymptote at x=3 b. x-intercept of 1 and 5 c. f(2)=f(4)=f(6)=3 d. increasing on [0,3) and [5,infinity) e. decreasing on (3,5] f. f(x) is an odd function I don't know how to

54. ### Find the vertical asymptotes of the following function:

f(x)={x-3}/{(x-3)(x^2-4)}. The equation(s) of the vertical asymptote(s) of f is/are___ & ____

57. ### Enter the equations of the asymptotes for the function f(x) .

f(x)= −(2/x+4) − 6 Vertical Asymptote: ? Horizontal Asymptote: ?

58. ### 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

59. ### 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???

64. ### 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

66. ### 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

67. ### 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

x = 1.

69. ### 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.

70. ### 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

71. ### I'm having some torubles understanding these question.

<i>Sketch y1 = x-3 and y2 = 1/x-3 on the same set of axis</i> <b>a) What is the relationship between the zero of y1, and vertical asymptote of y2?</b> Does the question mean when y1 = 0?. I know the

find an equation of a rational function given the following properties Vertical asymptote: x=-2 Slant Asymptote: y=x-5 domain : (-inf, -2)U(-2,-1)U(-1,inf) x intercept: x=3 Y intercept: y=12 hole:(1,4)

73. ### 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

74. ### 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?

f(x)=x^2+4x+3 / x^2-9 has one removable discontinuity and one vertical asymptote. Find and identify the x-value for each. I found the asymptote at x=3, but please help for the

76. ### Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function y=(3x^(2)+8x-10)/(x^(2)+7x+12)

Hole: Vertical Asymptote: Horizontal Asymptote:

78. ### State the equation of a reciprocal function that meets the following conditions by justifying your choices:

-vertical asymptote at x= -4 and x=2 -horizontal asymptote at y=0 -positive when x E (-4, 2) and negative when x E (-infinity, -4) U (2,8)

79. ### (-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)

80. ### Which of the following statements is true?

Question 7 options: a) The domain of a transformed logarithmic function is always {x E R}. b) Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. c) A

81. ### 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

82. ### 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

83. ### what rational expression will fit each of the descriptions?

a. Contains 2 vertical asymptotes. b. Contains a Horizontal asymptote of 3. c. Contains no vertical asymptotes but has a hole at x=2. d. Contains a horizontal asymptote of 1, vertical asymptotes of

84. ### True or false.

1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x --> a from the left is negative infinite and the limit of f(x) as x--> a from the right is positive infinite. I think this is true. Take for instance, a rational

85. ### 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?

86. ### 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.

87. ### 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)

88. ### 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

91. ### how do i find the vertical asymptote of

x−1 / x(x-2) so far i got x-1 / x^2-2x

93. ### 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

95. ### 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.

96. ### 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 ).

97. ### Write an equation for the rational function, 𝑓, which has the following characteristics:

𝑓 has: a vertical asymptote of 𝑥 = 4 a horizontal asymptote of 𝑦 = 0 a y-intercept at −1 no x – intercept

99. ### 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 and

100. ### Examine the logarithmic function f(x).

f(x)=log1/3x The function f(x) has a vertical asymptote at x= [blank] −−−−−−. Enter your answer as an integer that correctly fills in the blank. For example, if the vertical asymptote is at x=100, enter