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?

  1. 👍 1
  2. 👎 0
  3. 👁 1,302
  1. the vertical asymptote at x = -2 means that (x+2)=0 but (ax-b) is not 0.

    the horizontal asymptote at y=5 means that a=5,so we have 5x-b is not zero at x = -2.

    5(-2)+b not zero means b cannot be 10.

    1. 👍 0
    2. 👎 0
  2. Wouldn't it be -10?

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Give an example of a rational function that has vertical asymptote x = 3 and x = -3, horizontal asymptote y = 2 and y-intercept is (0, 4)

  2. Calculus AB

    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

  3. Rational Functions

    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

  4. Algebra

    write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't

  1. Calculus

    Let f be the function given by f(x)= 2x/(sqrt(x^2 +x +1)) c. Write an equation for each horizontal asymptote of the graph of f. d. Find the range of f. Use f'(x) to justify your answer.

  2. pre cal

    f(x) = two divided by quantity x squared minus two x minus three Graph A coordinate axis scaled by one. Domain and Range : _____________________ x and y Intercept(s) : _____________________ Horizontal Asymptote(s) :

  3. Pre-Calc/Trig...

    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

  4. 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

  1. math

    Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1.

  2. math

    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

  3. 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.

  4. Math

    20. (4 points) Write an equation for a rational function whose graph has all of the indicated features. vertical asymptote with equation x 3 horizontal asymptote with equation y =2 hole at x= 1 no x-intercepts

You can view more similar questions or ask a new question.