Homework SourseCreate the equation of a rational function with vertical asy
Create the equation of a rational function with vertical asymptotes x=-2 and x=2 and oblique (slant) asymptote of y=(1/3)x+2 and a y-intercept of 6. Simplify the equation.
Create the equation of a rational function with vertical asymptotes x=-2 and x=2 and oblique (slant) asymptote of y=(1/3)x+2 and a y-intercept of 6. Simplify the equation.
Solution
f(x) =(x^2-4)(x/3 + 2) / x^2-4 = x^3/3 +2x^2 -4x/3 - 24 / x^2 -4
= x^3+6x^2-4x-144 / 3x^2 - 12
