Rational functions

Use the rules for graphing a rational function to create a rational function having these characteristics: a. It has two vertical asymptotes, x= 4 and x= -3. b. It has one horizontal asymptote, y= 2. c. It has one x-intercept, x= -1. I think I've managed to get the denominator with the vertical asymptotes, but I can't seem to figure out the numerator.

Your Answer:

a. It has two vertical asymptotes, x= 4 and x= -3 =>
put (x-4)(x+3) in the denominator
b. It has one horizontal asymptote, y= 2. => the degrees of the numerator and denominator are equal so put 2(x-b)(x-c) in the numerator

c. It has one x-intercept, x= -1 => make b=0 and c=-1