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

  1. 👍 1
  2. 👎 0
  3. 👁 463
  1. • Vertical asymptotes: x = −3
    y = 1/(x+3)

    • Hole at x =2
    y = (x-2)/((x+3)(x-2))

    • x -intercept: 5
    y = ((x-2)(x-5))/((x+3)(x-2))

    • Horizontal asymptote: y=3/2
    y = (3(x-2)(x-5))/(2(x+3)(x-2))

    graph with your favorite utility to confirm.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  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

  2. 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

  3. 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

  4. 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

  1. 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.

  2. 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.

  3. 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

  4. 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.

  1. 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)

  2. 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

  3. 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

  4. 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?

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