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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

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  1. 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
  2. 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
  3. 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
  4. ALGEBRA 2

    Identify the domain,range and intercepts of the comic section A.The Domain of the Elise is {x|-2
  5. Algebra 2

    Identify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, domain, and range of: x^2-2x-8 f(x)= --------- -2x+2 Please explain how you got all of this info.
  6. mth

    PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks. f(x)= x^3+2x^2-x-2 / x^2+x-6 find: 1. domain 2. symmetry or not 3. determine if f(x)is: a)in lowest trem b)proper/improper 4. x-intercepts, y-intercepts 5.
  7. math

    PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks. f(x)= x^3+2x^2-x-2 / x^2+x-6 find: 1. domain 2. symmetry or not 3. determine if f(x)is: a)in lowest trem b)proper/improper 4. x-intercepts, y-intercepts 5.
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. pre-calculus

    R(x)=x^2+x-6 ________ x-3 1. find the domain and y-intercepts 2. find the x-intercepts 3. find the real solution of the equation 4. find the horizontal or oblique asymptotes 5. find the x-axis 6. plot the points
  14. Calculus

    Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (-infinity, infinity) Intercepts:
  15. Calculus

    Sketch the graph of f(x)=x^2/x-2. Identify the domain, x-intercepts, y intercepts, symmetry, periodicity, asymptotes, increasing and decreasing intervals, local max/min, concavity, inflexion points.
  16. 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 =
  17. 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)
  18. Precalculus

    Find an equation of a rational function that satisfies the given conditions: Vertical asymptotes: 𝑥 = −5, 𝑥 = 2 Horizontal asymptotes: 𝑦 = −2 𝑥-intercepts: 𝑥 = −6, 𝑥 = 4 𝑓(−2) = −4
  19. math-please help,need quickly

    find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=? 2. determine the symmetry of the graph of f. a. the graph has y-axis symmetry f(-x)=f(x) b. the graph has orgin symmetry f(-x)= -f(x) c. the graph has both y-axs and
  20. Pre cal

    Determine all x-intercepts, vertical asymptotes, horizontal asymptotes, and removable discontinuities of f (x)=(x^2-x-6)/(x^3-4x).
  21. College Algebra

    Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2 - 49/x^4 - 16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, R(0), and plot it.
  22. Algebra I

    Did I do these probelms correctly? Find the intercepts 1. y^2 = x^2 - 4x y^2 = x(x - 4) Y intercepts y^2 = 0(0 - 4) (0,0) x intercepts 0 = x(x - 4) 0 = x - 4 4 = x (4,0) 2. y = (x (x + 3))/(3x + 1)^2 y intercetps y = (0(0 + 3))/(3(0) +1)^2 y = 3/1 (0,3) x
  23. 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.
  24. algebra

    Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice) Every line through the center
  25. math

    For positive a, b, the potential energy, U, of a particle is given by U = b (a^2 over x^2 - a over x) for x is greater than 0 a) find the x-intercept b) find the asymptotes c)compute the local minimum d) sketch the graph I don't know how to start this
  26. Math

    (x^2+x-2) / (x^2-3x-4) X and y intercepts? Horizontal Asymptotes? Vertical Asymptotes?
  27. math

    For the curve y = log(x+3), determine the following: A) the asymptotes, B)the intercepts, C)the domain and range
  28. math

    For the curve y = log(x+3) determine the following: a) asymptotes, if any. b) intercepts, if any. c) domain and range
  29. math

    Find the x-intercepts of the polynomial y = x^2 - 4x + 3 I'm not sure how to approach this -- do I first factor it and then my x intercepts are (#, 0)? So, for example, factored would be (x - 3)(x - 1) I set those equal to 0 so my x intercepts would be (3,
  30. algebra

    Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4
  31. 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
  32. Math

    Sketch the graph of the following polynomial. (Label all x intercepts, y intercepts, maxima, minima, and identify the range and domain.) f(x)= 1/2( x^2-2x+15)
  33. APCalculus

    For the function y=2sin(x)-cos^2(x) on [0, 2pi] find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up
  34. Algebra2

    a graph with the points (0,-3) (2,-4) (-2,-4) What would be the domain, range x-intercepts y-intercepts and funtional value.. Help Please?..
  35. math

    sketch the curve using the domain, intercepts, symmetry, asymptotes, local max and min and concavity. y= x /(√(x^2) - 1)
  36. Algrebra II

    hi, thanks for reading this I have a question for finding vertical and horizontal asymptotes! as to finding the intercepts, domain, and graphing it all together... like y= 6 over (x+3) I don't quite understand the concepts and things, but if you can give
  37. college algebra

    Need help in finding all vertical, horizontal, and slant asymptotes, x- and y-intercepts, and symmetries of f(x)=(x-3)/(x-4)
  38. APCalculus

    For the function y=4-2x^2+1/6x^4 find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up Concave down
  39. Math

    If a graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation? Suppose that the graph of f(x) = ax^2+bx+c has x-intercepts (m,0) and
  40. quadratic functions

    The graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation? Suppose that the graph of f(x) = ax^2+bx+c has x-intercepts (m,0) and
  41. Calculus

    Create a function that has a graph with the following features: Two vertical asymptotes: x=1, x=3. One horizontal: y = -1. And x intercepts= -2, 4 how about f(x) = ((x+2)(x-4))/((3-x)(x-1)) ?
  42. Calculus

    Find: 1. f(x)= (6x^2-2) _______ x^3 2. f(x)= (x^2-4)^1/3 A. Domain B. Intercepts C. Asymptotes, behaviour and check for crossing where applicable D. Critical Number(s) E. Interval of Increase/Decrease F. Local Extrema G. Concavity and Points of Inflection
  43. Calculus

    Hi there,could you help me with the following questions; 1.) Analyze the key features (any asymptotes, intercepts, critical points) and then sketch the graph of the function f(x)= x-0.25/x^2 --> I am unsure about my answers could you tell me if I am
  44. algebra

    state the domain of the function. identify all intercepts and find vertical and horizontal asymtodes. f(x)=x-2 over x+1 or x-2 f(x)= ___ x+1
  45. 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=
  46. calculus

    Give a reasonable sketch, on the axes provided, of the graph of the function x/(x^2-1)^1/2 showing all characteristics. Use the following pieces to justify your sketch. a) Domain ? b) coordinates x and y intercepts ? c) Symmetry ? is the function odd,
  47. calcus

    determine domain, intercepts, asymptotes, intervals of increase and decrease, and concavity, and to locate any local extrema and point of inflection.
  48. Algebra

    Did I do this right? Find the vertex, the x intercepts and y intercepts. f(x)=(x-2)^2-4 Vertex: 2,4 X intercepts: 0,0 4,0 Y intercepts: I didn't know how to get these. Could you explain?
  49. algebra

    How do you find any x-intercepts and y-intercepts. If no x-intercepts exist, state this. g(x)=2x^2+3x-1
  50. Pre-Cal

    State the transformations. Identify holes, vertical asymptotes, and horizontal asymptotes of each. (I'm fine with the asymptotes, just need help with stating the trandformations) f(x)= (3x+9)/(x+2)
  51. Math

    hi how would we solve a question like this? for the curve with eq'n 2x^2 - x - 1 y= _______________ x^2 - 2x - 3 determina all x- and y-intercepts I assume you meant y = (2x^2 - x - 1)/(x^2 - 2x - 3) both top and bottom factor but there is no advantage
  52. AP Calculus

    For the function y=4-2x^2+1/6x^4 find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up Concave down
  53. math: pre-calculus

    5. For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.
  54. math: pre-calculus

    For the log function (h(x)=log(x+3)-8): a) Find the domain. b) Find the asymptotes. c) Find the x-intercepts.
  55. calculus

    how do you find the derivative of this (-x^2)/ (2) +2 and does it have any x intercepts, asypmtotes, or holes.
  56. math

    f(x)=x^3+6x^2+9x find: x intercepts vertical asymptotes horizontal/slant asymptotes derivative second derivative increasing interval decreasing interval concave up interval concave down interval
  57. math

    f(x)=x/(x^2+x-2) find: x intercepts vertical asymptotes horizontal/slant asymptotes derivative second derivative increasing interval decreasing interval concave up interval concave down interval
  58. math

    (x^3+7x+12)/(x-4) find: x intercepts vertical asymptotes horizontal/slant asymptotes derivative second derivative increasing interval decreasing interval concave up interval concave down interval
  59. Pre-Calculus

    1) Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes. x+4/ x^2+x-6. 2) Use a graphing utility to graph the function and determine the x-intercepts and B. set y=0
  60. Math

    I am practicing finding y and x intercepts of a parabola. My equation is y = x^2 - 2x - 3 My y intercept is (0 , -3) When I factor the equation I get (x + 1)(x -3) so my x intercepts would be (-1 , 0) and (3, 0) However, when I use the quadratic formula to
  61. math

    what's the quadratic form of 1/4(x+3)^2-4 I need it to find the intercepts of the parabola it describes. Check: I think the parabola is 1/4 scaled, moved 3 to the left and down 4 compared to a y=x^2 parabola. Is this ok? If you are looking for the
  62. Calculus

    Given the function f(x)= x√(x+3), Indicate the domain of f(x): ………………………… What are the x – intercepts of the graph of f(x)? POINTS! ……………………………. Identify the critical points of f(x) (write pairs of coordinates,
  63. math,correction,plz

    Can someone who has a few minutes could you please correct this for me.thank you. Directions: Find the x-intercepts of y= x^2+x-6 My answer: there are two x-intercepts ( (1-sqrt25)/(2),0) and ((1+sqrt25)/(2),0 x^2+x-6= (x+3)(x-2) how did you get those
  64. pre-calc

    how do u find the asymptotes and intercepts of y=2^(x+1) +1 and graph plzzz thxaks uu
  65. math

    A function f(x) has domain [0,25), range (-∞,5], and intercepts (2,0), i(17,0), 0,9). A function h(x) has domain (-∞,16), range (-∞,42) and intercepts (3,0), (0,-10). Find the domain of each of the following. 1. f + h 2 f/g 3. f*g
  66. math

    Hi, I'm trying to learn factoring but a couple of things don't make sense to me and I'm hoping you could explain them. If I have P(x) = 2(x-3)(x-4), how do I automatically know that the zeros are x = 3 and x =4? If inside the parentheses it was (x+3)(x+4),
  67. Algebra

    5. Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs. y = 3x - 6 6y = -x + 2 The y intercepts is when x=0 So put in x=0 in each, and solve for y. The x intercepts is when y=0, put in y=0 and solve for x. I
  68. Calculus

    Can someone help me finish this question... I got most of the answers but need help. Suppose that f(x)=3x−6x+5. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals
  69. Advanced Functions

    Write an equation of a rational function that satisfies all of these conditions below. Show how each condition is satisfied in order to get full marks. - y-intercept of -5 - x-intercepts at x=-1 and x=5 - Hole at x=-2 - Horizontal asymptote at y=6 - No
  70. algebra

    Graphing Quadratic Functions Find any x-intercepts and the y-intercept. If no x-intercepts exist, state this g(x)=2x^2+3x-1
  71. Algebra

    I have to find the standard form of a quadratic function with the vertex of -1,4 and x intercepts of -3,0 and 1,0. What do I do when I have two x intercepts like this?
  72. algebra

    -2x+5y=-15 Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.
  73. Algebra

    Find the x and y intercepts and graph the equation plotting the intercepts.Show work...-5x+8y=-40
  74. Pre-Calculus

    Identify the following features of the graph of g(x) = (3/2)^x+2 A) Asymptotes B) Intercepts C) Increasing or decreasing I really do not know how to find these
  75. Pre-Cal

    Identify the following features of the graph of g(x) = (3/2)^x+2 A) Asymptotes B) Intercepts C) Increasing or decreasing I really do not know how to find these
  76. algebra

    want to know if this right find the x and y intercepts of the equation plotting the intercepts -3x-5y=15 -3x-5(0)=15 -3x-0=15 -3x=15 x=-5 the x intercepts are (-5,0) find the y -3x-5y=15 -3(0)-5y=15 0-5y=15 -5y=15 y=-3(0,-3)
  77. Algebra

    How many x or y intercepts can a quadratic function have? A) 0-2 x-intercepts and 0-1 y-intercept B) 0-2 x-intercepts and 1 y-intercept C) 2 x-intercepts and 1 y-intercept D) 1-2 x-intercepts and 0-1 y-intercept I think the answer is D.
  78. 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
  79. math

    find the x-intercepts for P(x)= x^4-10x^2+9 and determine the behavior of the graph near the intercepts
  80. College Algebra

    Suppose that the Quadratic equation had two X-intercepts. How could you use the intercepts to find the vertex?
  81. algebra

    Suppose that a quadratic equation had two x-intercepts. How could you use the intercepts to find the vertex?
  82. Pre-calc

    1. Find the equation for a quadratic function whose vertex is (2,5) and whose graph contains the point (-8,15). 2.What are the x- and y- intercepts for y=2x^2+x-6 Plesee explai. I want to learn to learn how to do them.
  83. algebra

    list the domain and the x- and y- intercepts of the following function. Graph the funciion. Graph the function. Be sure to label all the asymptotes.
  84. college algebra

    Can someone please help me find the x-intercepts and y-intecepts of this equation. I have the radius, and center but I can't seem to get the intercepts. x^2+y^2=16x-18y+145=25 Please show work. Thanks!!
  85. Math - x-intercepts and y-intercepts

    Hi, can someone help me with intercepts. find the intercepts of f(x) = x^2 - 6x - 2 can someone show how to work this problem. thanks.
  86. algebra

    find the x and y intercepts and graph the equation plotting the intercepts 6x-7y=-42
  87. algebra 2

    how do you solve 7x+x (x-4)=0 solution (s)/arex= find the x- intercepts of f(x)=7x+x(-4) what are the x intercepts
  88. Pre-Calculus

    (I NEED URGENT HELP FOR THIS) Given the info. that a rational function has a vertical asymptote of x=3 and x=-3, horizontal asymptote at y=-4, no x-intercepts, and y-intercept: (0,2/3), no removable discontinuity, and no end behavior, what would the
  89. 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.
  90. PreCalculus

    I'm trying to find the x-intercepts of a polynomial function = 4x^4-3x^3-6x^2+2x+6. I don't want anyone to solve it, could someone please just tell me how to start factoring this so I can find the x-intercepts, I'm lost.
  91. 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)
  92. Math

    For the graph y find both x-intercepts by solving the equation 3x^2 - 24x + 45 =0 a) Direction of opening b)y-intercepts c)Axis of symmetry d) vertex e) max or min
  93. Math

    I am supposed to figure out what this rational function is by using these clues and I am a little confused. Can someone please explain how I do this? asymptotes: horizontal~none vertical~x=-4 slant~y=x+1 end behavior~ f(x) approaches infinity as x
  94. 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
  95. Math

    State domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of y = -2tan(3x + 180°) + 3 I just need to know if there is a formula to find the vertical asymptotes, symmetry, and zeros or do I have to solve it graphically. Thanks.
  96. 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?
  97. Math

    Find the domain and all the intercepts for this equation. y=-2x^4+3x^2
  98. algebra 2

    h(x)=x^3 -4. Find the domain, range and intercepts
  99. algebra

    solve 4x^2=20 find the x-intercepts of f(x)=4x^2=20 What are the solutions and what are the x-intercepts
  100. pre calc

    f(x)={8 x + 9}/(2 x + 7)(8 x + 6) -Find the x and y intercepts. -How would I go about finding the x and y intercepts in problems like this?

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