1. 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
  2. Pre-Calc

    1/x-3 +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.
  3. 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
  4. pre-cal: graphs of functions- fill in the blank

    To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a
  5. 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
  6. in desperate need of help, PRECALC

    a driver averaged 50 miles per hour on the round trip between akron, oh and Columbus, oh, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. a. show that y=25x/x-25 b. determine the vertical and horizontal
  7. 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
  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. Math - Graphing a function

    Graph the function below. Determine the domain, range, and horizontal asymptote. Please show all of your work. Submit your graph to the Dropbox. f(x) = (3/2)^(4-x)
  12. 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
  13. 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 but it was wrong.
  14. Pre-Calc

    The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is C=(3t+t)/(t^3+50) a. determine the horizontal asymptote of the function and interpret its meaning in the context of the problem. b. use a graphing utility to
  15. Math - Graphing Logarithms function

    Graph the function below. Determine the domain, range, and vertical asymptote. Please show all of your work. f(x) = log2(x-4)
  16. precalculus

    Use the Intermediate Value Theorem and a graphing utility to find intervals of length 1 in which the polynomial is guaranteed to have a zero. Use the root feature of a graphing utility to approximate the zeros of the function. h(x)=x^4-10x^2+2
  17. 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
  18. Pre-Calc

    a driver averaged 50 miles per hour on the round trip between akron, oh and Columbus, oh, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. a. show that y=25x/x-25 b. determine the vertical and horizontal
  19. Pre-calc

    a driver averaged 50 miles per hour on the round trip between akron, oh and Columbus, oh, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. a. show that y=25x/x-25 b. determine the vertical and horizontal
  20. Pre-Calculus

    Use a graphing utility to graph the function y = d + a sin (bx - c) for different values of a, b, c, and d. Write a paragraph describing the changes in the graph corresponding to changes in each constant.
  21. Calculus

    Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any
  22. calculus ab

    Use a graphing utility to graph the function and visually estimate the linits h(x)= -x^2 + 4x
  23. 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,
  24. Calculus

    A section of highway connecting two hillsides with grades of 6% and 4% is to be build between two points that are separated by a horizontal distance of 2000 feet. At the point where the two hillsides come together, there is a 50-foot difference in
  25. Calculus

    A section of highway connecting two hillsides with grades of 6% and 4% is to be build between two points that are separated by a horizontal distance of 2000 feet. At the point where the two hillsides come together, there is a 50-foot difference in
  26. Math(Please help)

    What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing =
  27. Math

    What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing =
  28. Math(Help!!)

    What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing =
  29. pre-calculus 11

    I have the question what is the equation of the function in the form f(x) = 1/x-c for the function with a vertical asymptote at x=1? sketch the graph. I am uncertain how I plug this into a graphing calculator. Could I substitute 1 for x and then put an x
  30. Calculus

    The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value
  31. Calculus

    The present value of a building in the downtown area is given by the function P(t) = 300,000e^-0.09t+¡Ìt/2 f or 0 ¡Ü t ¡Ü 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value
  32. Calculus

    The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value
  33. Calculus

    The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+ãt/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the
  34. Calculus

    The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value
  35. Calculus

    The present value of a building in the downtown area is given by the function P(t) = 300,000e^-0.09t+¡Ìt/2 f or 0 ¡Ü t ¡Ü 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value
  36. 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.
  37. 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.
  38. Math

    Use a graphing utility to graph the function. Then use the trace or table feature to identify the limit. lim 5/x-2 x-->2 I know I posted this question before but I am still having a hard time doing this. I pressed the y= button and typed the normal
  39. Math

    Use a graphing utility to graph the function. Then use the trace or table feature to identify the limit. lim 5/x-2 x-->2 I know I posted this question before but I am still having a hard time doing this. I pressed the y= button and typed the normal
  40. MATH

    Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 3/x^2 , (1, 3)
  41. Pre-Calculus

    For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the intervals over which the graph of
  42. calculus

    Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) f(x) = x^4 − 2x^3 + x + 1, [−1,3] minima (x,
  43. asymptotes and graphing, f

    how do i identify the asymptotes af the function and graph it . f(x)=1/x+3-1
  44. asymptotes and graphing, f

    how do i identify the asymptotes af the function and graph it . f(x)=1/x+3-1
  45. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4
  46. College Algebra

    1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the graph of y = |x| by which transformations? What is the horizontal shift? By what factor is the graph stretched or shrunk vertically and how is it reflected? What is the vertical shift? 2. Find
  47. Algebra

    Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function. So far I have: Y=5^x : D: ?? R:
  48. Pre-Calc

    A page that is x inches wide and y inches high contains 30 square inches of print. The margins at the top and bottom are 2 inches and the margins on the side are 2 inch wide. A. show that the total area A on the page is A=2x(2x+7)/(x-4) B. determine the
  49. 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.
  50. Math Graphing

    Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. h t t p : //img9 .
  51. Calculus

    Use a graphing utility to graph the polar equation shown below. r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π For the integers n = -5 to n = 5. As you graph these equations, you should see the graph change shape from a heart to a bell. I'm sorry. I'm having
  52. 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
  53. College algebra

    Annual profit in thousands of dollars is given by the function, P(x) = 200√ x - 3  + 10,000, where x is the number of items sold in thousands, x ≥ 3.  describe the meaning of the number 3 in the formula describe the meaning of the
  54. 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
  55. algebra

    2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is
  56. math

    A biker traveling with a velocity of 80 feet per second leaves a 100 foot platform and is projected directly upward. The function modeling the projectile motion of the biker is s(t)=-16t^2+80t+100,where s(t) is the height and t is the number of seconds the
  57. Math Problem (please help)

    Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a
  58. 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
  59. algebra

    Annual profit in thousands of dollars is given by the function, P(x) = 12x - 100, where x is the number of items sold in thousands, x ≥ 10. 1.describe the meaning of the number 12 in the formula, in terms of its meaning in relation to the profit.
  60. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is the graph suppose to look
  61. 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)?
  62. Trigonometry

    Directions: Use a graphing utility to approximate the solutions of the equation in the interval [0,2π) by setting the equation equal to zero, graphing the new equation, and using the ZERO or ROOT feature to approximate the x-intercepts of the graph.
  63. 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
  64. 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)) ?
  65. college algebra

    Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x ≥ 0. describe the meaning of the number -.1 in the formula, in terms of its meaning in relation to the profit. describe
  66. MATH Graphing Domain

    Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. h t t p : //img9 .
  67. 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?
  68. PreCalc

    Consider the function(7+15x^2)/(10x^2+9x+10). Find the function's domain and identify any horizontal and vertical asymptotes Please Help!
  69. Pre Calc

    Use a graphing utility to graph the function and approximate (to two decimal places) any relative minima or maxima. (If an answer does not exist, enter DNE.) f(x) = −x2 + 9x − 8
  70. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a
  71. Pre-Cal

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / x - 3 + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  72. Pre-Cal(Please help)

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / x - 3 + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  73. Pre-Cal

    Give the domain of the function and identify any vertical or horizontal asymptotes. h(x) = 1 / (x - 3) + 1 I had x = 0 and y = 3. Would the domain be all numbers except 1?
  74. Algebra

    14. (a) Use a graphing utility to find the exponential regression function for the follow data: {(23.5, 16), (26.7, 48), (28.0, 155), (29.5, 571), (29.9, 896)} (b) Use the function in (a) to predict (to the nearest whole number) the y-value associated with
  75. 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)=
  76. 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)=
  77. Maths

    Given the equation y=2x-4 of an exponential function f 1)write down the equation of horizontal asymptote of f 2)determine the y intercept of f 3)determine the y value of a point on f with x=-2 4)draw the graph of the function of f showing all critical
  78. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6
  79. MATH

    Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(θ) = 8 sin(θ) − θ, (0, 0)
  80. Math

    The path of a softball is given by the equation y=0.08x^2 + x + 4. The coordinates x and y are measured in feet, with x=0 corresponding to the position from which the ball was thrown. A) Use a graphing utility to graph the trajectory of the softball. B)
  81. Algebra 1

    5. Principal Farley has $200 to pay for some teachers to attend a technology conference. The company hosting the conference is allowing 2 teachers to attend for free. The number of teachers y that can be sent to the conference is given by the function y =
  82. algebra

    find the following for the function f(x)= (x+5)^2(x-1)^2 a) find the x and y intercepts for the polynomial function f b) determine whether the graph of f crosses or touches the x axis at each x intercept C) put all information together to obtain the graph
  83. 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
  84. Calculus

    Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your
  85. Calculus

    Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your
  86. calculus--please check

    analyze the graph of the function f(x)=x^2+x-90/x+3 a. what is the domain? I think it is x‚-3 (-‡,-3)(-3‡) b. what is the equation of the vertical asymptote? is it x= -3 c. what is the horizontal asymptotes? none
  87. calculus--please check

    analyze the graph of the function f(x)=x^2+x-90/x+3 a. what is the domain? I think it is x‚-3 (-‡,-3)(-3‡) b. what is the equation of the vertical asymptote? is it x= -3 c. what is the horizontal asymptotes? none
  88. Math

    Use graphing utility to graph function and estimate the limit. Use a table to reinforce your conclusion. Then find the limit by analytic methods. lim (sq root of (x+2) - sq root of 2) / x x->0 Thanks!
  89. math

    Consider the function f(x)= 3 ------. x^2-25 a) Determine any restrictions on x. b) State the domain and range. c) State equation(s) for the asymptote(s). d) Determine any x- and y-intercepts. e) Sketch a graph of the function. f) Describe the behaviour of
  90. Math

    give the domain of the function and identify any vertical or horizontal asymptotes. g(x)= 1 / x-3 + 1 My answer was x = o and y=3 but this was wrong. Please explain!!
  91. pre - CALCULUS

    Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
  92. pre - CALCULUS

    Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function. h(x) = 2 | x | + 2
  93. math

    Which three options are true about the quadratic equation?? y= 4t^2 + 16t + 18 A. The graph has a minimum. B. The graph of y crosses the horizontal axis at t = 10 and t = 20. C. The equation 4t^2 + 16 + 18 = 6 has one real solution. D. The function has a
  94. math

    What is the equation for the line of symmetry for the graph of this function? function y = x2 - 4x - 5, if you have a graphing calulator you can put it in there, or just graph it on a piece of paper using a T chart. find it by one of those.
  95. ****college algebra…radical functions****

    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
  96. math

    A rectangular field is to have an area of 500 sq m. a) write the perimeter, P, of the field as a function of the width, w. b) find the domain of the function in part a. c) use a graphing calculator to sketch the graph of the function in part a. d) describe
  97. differetial calculus-related rates

    LINEAR VS ANGULAR SPEED A wheel of a radius 30 centimeters revolves at a rate of 10 revolutions per second.A dot is painted at a point P on the rim of the wheel. a)find dx/dt as a function of ϴ. b)use a graphing utility to graph a function in part
  98. precalculus

    analyzethe graph of the function Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points. (d) Graph the function Please show
  99. Quadratic Functions

    Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the quadratic function. 5.y + 9 = (x
  100. Pre Calculus

    a. Identify the horizontal asymptotes of the function f(x)=x+6 / |x|+1 ( / = divided by/over) b. Make a summary of how you may sketch a graph of this rational function.