Find an equation of a rational function that satisfies the following conditions: • Vertical asymptotes: x = −3 • Horizontal asymptote: y=3/2 • x -intercept: 5 • Hole at x =2

134,676 results
1. Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with rational coefficients has the

2. Math

The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find g ′(0) and g ″(0) in

3. Math

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?

4. algebra

Find an equation of a rational function that satisfies the following conditions: • Vertical asymptotes: x = −3 • Horizontal asymptote: y=3/2 • x -intercept: 5 • Hole at x =2

5. Gr.11 - Rational functions graphing.

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a

6. Pre-Calculus

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work. f(x) = (x-4)/(x(x-4)) (x-4)/x(x-4) the common factors cancel out and all is left is f(x)= 1/x... how do I solve this problem?

7. math

what is a function that Contains no vertical asymptotes but has a hole at x=2 and another function that contains a horizontal asymptote of 1, vertical asymptotes of 2 and -3, and a hole at x=4.

8. Math

Write the equation of the rational function that passes through the points (0,0) and (4,8/7), has the x-axis as a horizontal asymptote, and has 2 vertical asymptotes at x=3 and x=-3.

9. 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

10. 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.

11. Algebra

Find a rational function that satisfies the given conditions. Vertical asymptotes x=-2,x=7 Horizontal asymptote y=7/2 ​x-intercept ​(−5​, ​0)

12. Geomatry

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6

13. math

Explain how to find the equation of the vertical asymptotes of a reciprocal function in full details.

14. pre cal

Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational

15. Math

Write an equation to represent a rational function with the following conditions: - reciprocal of a quadratic function - asymptotes with the equations x = -5, x= 4/3, and y = 0 - y < 0 whenever x < -5 - y-intercept of 1.5

16. Math

Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function. y=3x^2+10x-8/x^2+7x+12 Can you also show your work. I need to do corrections. I have a 68 I just need to get to a 70. This would mean so much to me if anybody

17. Math

Verify these answers :] Would be thankies~ 1. Determine the intervals in which the reciprocal function of f(x)= x^2+1 is increasing. a) (0,∞) b) (-∞, 0) c) (-∞,∞) d) (1,∞) Answer: D -------------------------------------- 2. Determine the point(s)

18. Algebra

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible: Vertical asymptotes x = -4, x = 5; x-intercept (-2, 0)

19. 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)?

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

21. College Algebra HELP

Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x-3)/(2x^2-7x) 1) Determine the symmetry of the function 2) Find the y-intercept 3) Find the x-intercept 4) Find the vertical asymptotes 5) Find the

22. 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)

23. Pre-calc

Write an equation for a rational function with: Vertical asymptotes at x=-1 and x=4 x intercepts at x=-6 and x=6 Horizontal asymptote at y=2 y=

24. MATH

Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and

25. Algebra

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:

26. m240

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.

27. Algebra 2

Identify all horizontal and vertical asymptotes of the graph of the function. f(x)=x^2/x^2-4 I know the vertical asymptotes are x=2 and x=-2, but how do I find the horizontal asymptotes?

28. Algebra II

Determine the equation of any vertical asymptotes and the value of x for any holes in the graph: f(x)= x^2-11x+18/x-2. I factored and got: (x-9)(x-2)/x-2 Answer: no vertical asymptotes and x= 2&-7 are the holes. Is this correct? Thanks.

29. Algebra

Find a rational function that satisfies the given conditions: Vertical asymptotes: x=1, x=-2 X-intercept: (-5,0)

30. Algebra

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible: Vertical asymptotes x = -4, x = 5; x-intercept (-2,0)

31. math

5. State a rational function that satisfies all of the following: The y – intercept is 24 There is a horizontal asymptote at y = 3 There are vertical asymptotes at x = -1 and x = 4

32. Pre-Calculus

I want to learn how to find the domain, holes, x-intercepts, y- intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if I have been looking over

33. Seven step method

Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x-3)/(2x^2-7x) 1) Determine the symmetry of the function 2) Find the y-intercept 3) Find the x-intercept 4) Find the vertical asymptotes 5) Find the

34. Math - Domain and Asymptotes

Given the following rational function: f(x) = (x^2 + 6x - 8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any.

Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions

36. Math-precalc

Is it possible to find a rational function that has x-intercepts (-2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the x-intercepts parts stump me. If you can't reach y=0, then how can you get

37. pre-calc

What function has 2 vertical asymptotes at x=-3/2 and x=3/2 and a horizontal asymptote at 3/4? I know that the coefficients of the rational function are 3 and 4 but I don't know how to figure anything else out.

38. Math 111 URGENT

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___ & ____

39. Math

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

40. 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

41. Math

Design a rational function with the following characteristics: three real zeros, one of multiplicity 2; y-intercept 1; vertical asymptotes x=-2 and x=3; oblique asymptote y=2x+1.

42. rational functions

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I don't understand how to solve for a and b.

43. Algebra

Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^4-1)/(3x^2-3x)

44. Math

find a rational function that satisfies the given conditions vertical asymptotes x=-6,x=7 horizontal asymptotes y=10/9 x intercepts (6,0)

45. Algebra

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible: Vertical asymptotes x = -4, x = 5; x-intercept (-2, 0)

46. Harrisburg Area Community College

find the equation of a rational function that passes through (0,1) and (2,1), has the x axis as a horizontal asymptote, and has two vertical asymptotes at x=3 and x=-3

47. math(precalculus)

Write the equation of a Rational Function satisfying given conditions. Has vertical asymptotes located at x-2 and x=-1 Has a horizontal asymptote located at y=0(x-axis) y-intercept:(0,2) x-intercept (4,0) R(x)= ??? what I did is, R(x)= ax+b/c(x-2)(x+1)

48. algebra

For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6

49. precalculus

(A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

50. precalculus

(A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^3-8)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

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

1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function? 2.Give a quadratic function with its zeros at x=a and x=b, what are the equations of the vertical asymptotes of its reciprocal

53. Algebra

Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. T(x)=x^2/x^4-256

54. College algebra

Find the vertical, horizontal, and qblique asymptotes, if any, for the following rational function. T(x)=x^2/x^4-256

55. Math

Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and

56. ALGEBRA

Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and

57. algebra

Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and

58. Math (calc)

Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1

59. ALGEBRAA

Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. Label the asymptotes and

60. Math-asymptotes

hi! so I have a rational equation : y = -3/x+1 and i'm wondering how you find the horizontal and vertical asymptotes.

61. college algebra

given the following rational, find the horizontal asympotes the vertical asymptotes if any and the oblique asymptotes if any f(x)=x^2-x-2 over 2x^2-x-10

find the vertical asymptotes of the following rational function(remember VA is X) y=x+6/(x^2+11x+30 ) my answer is x+6/(x+6)(x+5) cancel alike term i get 1/(x+5 )and V.A:x=-5 is that right thanks

find the vertical asymptotes of the following rational function(remember VA is X) x+6/(x^2+11x+30 ) my answer is x+6/(x+6)(x+5) cancel alike term i get 1/(x+5 )and V.A:x=-5 is that right thanks

64. pre calculus

given the following rational function a. state the domain b. find the vertical and horizontal asymptotes if any c. find the oblique asymptote f(x) = x^2 + 7x + 5 / x + 8

65. college algebra

find the vertical, horizontal, oblique asymptotes, if any, for the given rational function. R(x)=10x^2+19x-15 -------------- 2x+5 please show how you arrived with the answer! thank you

66. Calculus

A rational function g has the lines x=2 and x=-2 as vertical asymptotes, the line y=4 as a horizontal asymptote, and numbers 3 and 1 as zeros. Find a formula for g(x).

67. Calculus-Function

sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, and second

68. math-alg

11. What are the horizontal and vertical asymptotes for the rational function y = 4x /(x-1)?: x = 0, y = 0 x = 1, y = 4 x = 4, y = 1 x = 1, y = 0

69. Calculus (Reiny or MathMate)

A rational function g has the lines x=2 and x=-2 as vertical asymptotes, the line y=4 as a horizontal asymptote, and numbers 3 and 1 as zeros. Find a formula for g(x). So I got g(x)=(4x^2-16x+12)/(x^2-4) Is this correct

70. Math

A rational function g has the lines x=2 and x=-2 as vertical asymptotes, the line y=4 as a horizontal asymptote, and numbers 3 and 1 as zeros. Find a formula for g(x). So I got g(x)=(4x^2-16x+12)/(x^2-4) Is this correct

71. precalculus

given the following rational function f(x)= x^2+5x-7 / x-4 state domain, find vertical, horizontal and oblique asymptotes if any. I found the domain to be (-inf.,4)U(4, inf.) and vertical asymptote at x=4 am I right? can someone help me with the rest?

72. Algebra

List all asymptotes (both horizontal and vertical) of the rational function: f(x)=(10x−3)/(8−7x)

73. Pre-Calc

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work. f(x) = (x-4)/(x(x-4)) How would I show my work? the x-4 cancel out and I am left with 1/x. The vertical asymp. is x= 0

74. Calculus

A rational function g has the lines x=2 and x=-2 as vertical asymptotes, the line y=4 as a horizontal asymptote, and numbers 3 and 1 as zeros. Find a formula for g(x). So I got g(x)=(4x^2-16x+12)/(x^2-4) Is this correct Math Mate?

75. PRE-CALC

I am given the rational function: f(x)= (x^3 - 1) / (x^2 - 4) I found that the domain is all real numbers except x= plus or minus 2 , I also found that the x intercept is x=1, however I do not get how to find: the y-intercet , or identify the Horizontal,

76. 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

77. College Algebra

Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts −2 and 8,highest point has y-coordinate 5

78. Math

Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts −2 and 8, highest point has y-coordinate 5

79. algebra

Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts −1 and 7 highest point has y-coordinate 4

80. Algebra

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all

81. 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

82. Pre-Cal

use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes? g(x) = 4 [x-2] / x + 1 My answer was there are two horizontal asymptotes. My teacher said that there are two asymptotes but she wants me to find the

83. calculus

For the function r(x)=x3+6x2x2−36, find the following. a. the y - intercept b. the x - intercepts c. all horizontal asymptotes. y = d. all vertical asymptotes. x =

84. Math

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

85. Math

Design a rational function with the following characteristics: three real zeros, one of multiplicity 2; y-intercept 1; vertical asymptotes x=-2 and x=3; oblique asymptote y=2x+1.

86. Algebra

Please help I can't figure out these two. Express f(x) in the form a(x − h)2 + k. f(x) = −4x2 + 24x − 9 Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. vertex (0, −7), passing through (3, 38)

87. graph from asymptotes

Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function? Is yes, what are the rules? For example, if I have to sketch a graph of y = (2x^2+10x-12)/x^2+x-6), how do I do it? I got the vertical

88. Algebra

Graph the rational function x/(x-6) To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph.

89. math

* Give a linear function with its zero at x = a, what is the equation of the vertical asymptote of its reciprocal function? * Give a quadratic function with its zeros at x = a and x = b, what are the equations of the vertical asymptotes of its reciprocal

90. math

hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions? 2) for the domain of the rational function it is what the denominator cannot equal to rite? for example the denominator of

91. 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

Explain how to find the equation of the vertical asymptotes of a reciprocal function in full details. * Steve told me to look up in the web, and did, but still i couldn't find the correct one. someone help please....

A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I don't understand how to solve for a and b.

94. Find the horizontal and oblique asymptotes

Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^4-1)/(3x^2-3x)

95. Math

Explanation of how to find the asymptotes of the graph of a rational function.

96. Algebra

Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^4-1)/(3x^2-3x)

97. math calculus

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

98. College Algebra.

Find the equation in standard form of the hyperbola that satisfies the stated condition. Foci (0,5) and (0,-5), asymptotes y = x and y =-x