The standard form of the rational function

To write a rational function in standard form requires polynomial division.

(a) Write the rational function

 in standard form by writing R in the form 

(b) Graph R using transformations.

(c) Find the vertical asymptote and the horizontal asymptote of R.

R(x)= = mx + b , c = 0, is R(x)= a(- # cx + d' x-h. + k.