SOLUTION: Can you please help me with problem, I have no idea where to begin to solve this. Find the equation and sketch the graph of a rational function that passes through (0,0) and (7

Algebra ->  Rational-functions -> SOLUTION: Can you please help me with problem, I have no idea where to begin to solve this. Find the equation and sketch the graph of a rational function that passes through (0,0) and (7      Log On


   



Question 914343: Can you please help me with problem, I have no idea where to begin to solve this.
Find the equation and sketch the graph of a rational function that passes through (0,0) and (7, 28/13), has x-axis as a horizontal asymptote and two vertical asymptotes x=6 and x=-6.
The equation of the function is y=?
Thank you so much for your assistance

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
y = ax%2F%28%28x-6%29%28x%2B6%29%29 (0,0) and asymptotes tells us that
Ex: f(x) = 1/x (horizontal asymptote is y = 0 as x gets very large)
........
P(7,28/13)
7a%2F1%2813%29 = 28/13, a = 4
y = 4x%2F%28%28x-6%29%28x%2B6%29%29