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