SOLUTION: 1. Rewrite y = 4x-15/x-3 into graphing form. 2. Describe the end behavior of this function as |x| increases without bound. Thanks for the help

Algebra ->  Rational-functions -> SOLUTION: 1. Rewrite y = 4x-15/x-3 into graphing form. 2. Describe the end behavior of this function as |x| increases without bound. Thanks for the help      Log On


   



Question 1091960: 1. Rewrite y = 4x-15/x-3 into graphing form.
2. Describe the end behavior of this function as |x| increases without bound.
Thanks for the help

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
y = (4x-15) / (x-3)
:
y = (4(x-3) -3) / (x-3)
:
y = 4 - (3 / (x-3))
:
This is the graph of the equation
:
+graph%28+300%2C+200%2C+-7%2C+17%2C+-1%2C+10%2C+4-%283%2F%28x-3%29%29%29+
:
as |x| increases the function is asymptotic to y = 4
: