Write the equation of a rational function of the form y= quadratic/quadratic that satisfies the following properties i) there is a horizontal asymptote at y=2 ii) there is a vertical asymptote at x=3 ii) there is an x-intercept of 2 iv) there is a hole (removable discontinuity) at (-2, 8/5) Express your answer in the form y = quadratic/quadratic where the numerator and denominator are in standard form (y = ax^2 + bx + c).
Write the equation of a rational function of the form y= quadratic/quadratic that satisfies the following properties i) there is a horizontal asymptote at y=2 ii) there is a vertical asymptote at x=3 ii) there is an x-intercept of 2 iv) there is a hole (removable discontinuity) at (-2, 8/5) Express your answer in the form y = quadratic/quadratic where the numerator and denominator are in standard form (y = ax^2 + bx + c).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Write the equation of a rational function of the form y= quadratic/quadratic that satisfies the following properties
i) there is a horizontal asymptote at y=2
ii) there is a vertical asymptote at x=3
ii) there is an x-intercept of 2
iv) there is a hole (removable discontinuity) at (-2, 8/5)
Express your answer in the form y = quadratic/quadratic where the numerator and denominator are in standard form (y = ax^2 + bx + c).
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